LCM for 8, 64 and 88

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 8, 64 and 88?

Answer

LCM of 8, 64 and 88 is
704

(Seven hundred four)

704 is the smallest positive integer that 8, 64 and 88 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 8, 64 and 88 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 64: 2 × 2 × 2 × 2 × 2 × 2 (exponent form: 26)

All Prime Factors of 88: 2 × 2 × 2 × 11 (exponent form: 23 × 11)

Prime factor86488Highest power
223262326
11——1111

LCM = 26 × 11 = 704

Checking the LCM of 8, 64 and 88 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, 64) = (8 × 64) ÷ 8 = 512 ÷ 8 = 64

LCM(64, 88) = (64 × 88) ÷ 8 = 5,632 ÷ 8 = 704

LCM(8, 64, 88) = 704

The pairs may be taken in any order — 64 and 88 first, then 8 — and the answer is the same 704. That is exactly why the two routes on this page agree.

Related Calculations

See Also

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, 64 and 88? (The answer is: 704). Enter the first number (e.g. '8'), the second (e.g. '64') and the third (e.g. '88'), 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
864734,672
864742,368
864754,800
864761,216
864774,928
864782,496
864795,056
86480320
864815,184
864822,624
864835,312
864841,344
864855,440
864862,752
864875,568
86488704
864895,696
864902,880
864915,824
864921,472
864935,952
864943,008
864956,080
86496192
864976,208
864983,136
864996,336
8641001,600
8641016,464
8641023,264

FAQ

What's the Least Common Multiple (LCM) of 8, 64 and 88?

LCM of 8, 64 and 88 is 704

How to find the LCM of 8, 64 and 88 by prime factorization?

Take every prime that appears in 8, 64 and 88 to the highest power it reaches in any one of them and multiply: 2⁶ × 11 = 704.

Can you get the LCM of 8, 64 and 88 two numbers at a time?

Yes, and it is the check this page prints. The LCM of 8 and 64 is 64, and the LCM of 64 and 88 is 704 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 704 divisible by 8, 64 and 88?

Yes, and by definition it is the smallest positive integer that is: 704 ÷ 8, 704 ÷ 64 and 704 ÷ 88 all come out whole. Any other common multiple of 8, 64 and 88 is a multiple of 704.

See Also