LCM for 36 and 198

What's the Least Common Multiple (LCM) of 36 and 198?

Answer: LCM of 36 and 198 is 396

(Three hundred ninety-six)

Finding LCM for 36 and 198 using GCF's of these numbers

The first method to find LCM for numbers 36 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 198 is 18, so

LCM = (36 × 198) ÷ 18

LCM = 7128 ÷ 18

LCM = 396

Finding LCM for 36 and 198 by Listing Multiples

The second method to find LCM for numbers 36 and 198 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468

Multiples of 198: 198, 396, 594, 792

So the LCM for 36 and 198 is 396

Finding LCM for 36 and 198 by Prime Factorization

Another method to find LCM for numbers 36 and 198 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)

22 × 32 × 111 = 396

LCM Table

Number 1Number 2LCM
211981386
22198198
231984554
24198792
251984950
261982574
27198594
281982772
291985742
30198
311986138
321983168
33198198
341983366
351986930
36198
371987326
381983762
391982574
401983960
411988118
421981386
431988514
44198396
45198990
461984554
471989306
481981584
491989702
501984950

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 36 and 198? (The answer is: 396). Select the first number (e.g. '36') 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

FAQ

What's the Least Common Multiple (LCM) of 36 and 198?

LCM of 36 and 198 is 396