LCM for 8, 11 and 36

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
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What's the Least Common Multiple (LCM) of 8, 11 and 36?

Answer

LCM of 8, 11 and 36 is
792

(Seven hundred ninety-two)

792 is the smallest positive integer that 8, 11 and 36 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 8, 11 and 36 by Prime Factorization

Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

All Prime Factors of 8: 2 × 2 × 2 (exponent form: 23)

All Prime Factors of 11: 11 (exponent form: 11)

All Prime Factors of 36: 2 × 2 × 3 × 3 (exponent form: 22 × 32)

Prime factor81136Highest power
223—2223
3——3232
11—11—11

LCM = 23 × 32 × 11 = 792

Checking the LCM of 8, 11 and 36 Two Numbers at a Time

The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

LCM(a, b) = (a × b) ÷ GCD(a, b)

LCM(8, 11) = (8 × 11) ÷ 1 = 88 ÷ 1 = 88

LCM(88, 36) = (88 × 36) ÷ 4 = 3,168 ÷ 4 = 792

LCM(8, 11, 36) = 792

The pairs may be taken in any order — 11 and 36 first, then 8 — and the answer is the same 792. That is exactly why the two routes on this page agree.

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About "Least Common Multiple of 3 Numbers" Calculator

This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 8, 11 and 36? (The answer is: 792). Enter the first number (e.g. '8'), the second (e.g. '11') and the third (e.g. '36'), then hit the 'Calculate' button.
The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

LCM Table

Number 1Number 2Number 3LCM
811211,848
8112288
811232,024
81124264
811252,200
811261,144
811272,376
81128616
811292,552
811301,320
811312,728
81132352
81133264
811341,496
811353,080
81136792
811373,256
811381,672
811393,432
81140440
811413,608
811421,848
811433,784
8114488
811453,960
811462,024
811474,136
81148528
811494,312
811502,200

FAQ

What's the Least Common Multiple (LCM) of 8, 11 and 36?

LCM of 8, 11 and 36 is 792

How to find the LCM of 8, 11 and 36 by prime factorization?

Take every prime that appears in 8, 11 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 11 = 792.

Can you get the LCM of 8, 11 and 36 two numbers at a time?

Yes, and it is the check this page prints. The LCM of 8 and 11 is 88, and the LCM of 88 and 36 is 792 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 792 divisible by 8, 11 and 36?

Yes, and by definition it is the smallest positive integer that is: 792 ÷ 8, 792 ÷ 11 and 792 ÷ 36 all come out whole. Any other common multiple of 8, 11 and 36 is a multiple of 792.

See Also