LCM for 72 and 99
What's the Least Common Multiple (LCM) of 72 and 99?
Answer
(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
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/72--99">What is the LCM of 72 and 99? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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