LCM for 72 and 198

What's the Least Common Multiple (LCM) of 72 and 198?

Answer: LCM of 72 and 198 is 792

(Seven hundred ninety-two)

Finding LCM for 72 and 198 using GCF's of these numbers

The first method to find LCM for numbers 72 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 198 is 18, so

LCM = (72 × 198) ÷ 18

LCM = 14256 ÷ 18

LCM = 792

Finding LCM for 72 and 198 by Listing Multiples

The second method to find LCM for numbers 72 and 198 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 198: 198, 396, 594, 792, 990, 1188

So the LCM for 72 and 198 is 792

Finding LCM for 72 and 198 by Prime Factorization

Another method to find LCM for numbers 72 and 198 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 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)

23 × 32 × 111 = 792

Related Calculations

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 198? (The answer is: 792). Select the first number (e.g. '72') and the second number (e.g. '198'). 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

LCM Table

Number 1Number 2LCM
571983762
581985742
5919811682
601981980
6119812078
621986138
631981386
641986336
6519812870
66198198
6719813266
681986732
691984554
701986930
7119814058
72198
7319814454
741987326
751984950
761987524
771981386
781982574
7919815642
801987920
811981782
821988118
8319816434
841982772
8519816830
861988514

FAQ

What's the Least Common Multiple (LCM) of 72 and 198?

LCM of 72 and 198 is 792