LCM for 84 and 90

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What's the Least Common Multiple (LCM) of 84 and 90?

Answer

LCM of 84 and 90 is
1,260

(One thousand two hundred sixty)

Finding LCM for 84 and 90 using GCF of these numbers

The first method to find LCM for numbers 84 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 90 is 6, so

LCM = (84 × 90) ÷ 6

LCM = 7,560 ÷ 6

LCM = 1,260

Finding LCM for 84 and 90 by Listing Multiples

The second method to find LCM for numbers 84 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260, 1,344, 1,428

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1,080, 1,170, 1,260, 1,350, 1,440

So the LCM for 84 and 90 is 1,260

Finding LCM for 84 and 90 by Prime Factorization

Another method to find LCM for numbers 84 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

22 × 32 × 71 × 51 = 1,260

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 84 and 90? (The answer is: 1,260). Select the first number (e.g. '84') and the second number (e.g. '90'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
84752,100
84761,596
8477924
84781,092
84796,636
84801,680
84812,268
84823,444
84836,972
848484
84857,140
84863,612
84872,436
84881,848
84897,476
84901,260
84911,092
84921,932
84932,604
84943,948
84957,980
8496672
84978,148
8498588
84992,772
841002,100
841018,484
841021,428
841038,652
841042,184

FAQ

What's the Least Common Multiple (LCM) of 84 and 90?

LCM of 84 and 90 is 1,260

How to find the LCM of 84 and 90 using prime factorization?

To find the LCM of 84 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 84 and 90: LCM = 1,260, GCF = 6.

See Also