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Least Common Multiple (LCM) of 50 and 77

The least common multiple (LCM) of 50 and 77 is 3850.

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 50 and 77?

First, calculate the GCD of 50 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 77 = 0 remainder 50
2 77 ÷ 50 = 1 remainder 27
3 50 ÷ 27 = 1 remainder 23
4 27 ÷ 23 = 1 remainder 4
5 23 ÷ 4 = 5 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 3131
190 and 969120
178 and 484272
137 and 13818906
181 and 152715

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