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Least Common Multiple (LCM) of 150 and 77

The least common multiple (LCM) of 150 and 77 is 11550.

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 150 and 77?

First, calculate the GCD of 150 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 77 = 1 remainder 73
2 77 ÷ 73 = 1 remainder 4
3 73 ÷ 4 = 18 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 19512090
12 and 1031236
195 and 1104290
141 and 11516215
192 and 1237872

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