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Least Common Multiple (LCM) of 196 and 60

The least common multiple (LCM) of 196 and 60 is 2940.

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 196 and 60?

First, calculate the GCD of 196 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 60 = 3 remainder 16
2 60 ÷ 16 = 3 remainder 12
3 16 ÷ 12 = 1 remainder 4
4 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 721224
182 and 15814378
188 and 746956
15 and 1392085
38 and 1977486

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