HowManyNumbers Logo

Least Common Multiple (LCM) of 198 and 51

The least common multiple (LCM) of 198 and 51 is 3366.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 198 and 51?

First, calculate the GCD of 198 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 51 = 3 remainder 45
2 51 ÷ 45 = 1 remainder 6
3 45 ÷ 6 = 7 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 62186
43 and 964128
162 and 9114742
171 and 376327
113 and 556215

Try Calculating LCM of Other Numbers







Related Calculators