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Least Common Multiple (LCM) of 16 and 196

The least common multiple (LCM) of 16 and 196 is 784.

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 16 and 196?

First, calculate the GCD of 16 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
129 and 354515
36 and 1395004
111 and 1144218
31 and 1304030
40 and 1897560

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