LCM for 72 and 99

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 99?

Answer

LCM of 72 and 99 is 792

(Seven hundred ninety-two)

Finding LCM for 72 and 99 using GCF of these numbers

The first method to find LCM for numbers 72 and 99 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 99 is 9, so

LCM = (72 × 99) ÷ 9

LCM = 7128 ÷ 9

LCM = 792

Finding LCM for 72 and 99 by Listing Multiples

The second method to find LCM for numbers 72 and 99 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936

Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, 990

So the LCM for 72 and 99 is 792

Finding LCM for 72 and 99 by Prime Factorization

Another method to find LCM for numbers 72 and 99 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 99: 3, 3, 11 (exponent form: 32, 111)

23 × 32 × 111 = 792

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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 72 and 99? (The answer is: 792). Select the first number (e.g. '72') and the second number (e.g. '99'). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
7284504
72856120
72863096
72872088
7288792
72896408
7290360
72916552
72921656
72932232
72943384
72956840
7296288
72976984
72983528
7299792
721001800
721017272
721021224
721037416
72104936
721052520
721063816
721077704
72108216
721097848
721103960
721112664
721121008
721138136

FAQ

What's the Least Common Multiple (LCM) of 72 and 99?

LCM of 72 and 99 is 792

How to find the LCM of 72 and 99 using prime factorization?

To find the LCM of 72 and 99, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 792.

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 72 and 99: LCM = 792, GCF = 9.

See Also