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Least Common Multiple (LCM) of 106 and 150

The least common multiple (LCM) of 106 and 150 is 7950.

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 106 and 150?

First, calculate the GCD of 106 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 150 = 0 remainder 106
2 150 ÷ 106 = 1 remainder 44
3 106 ÷ 44 = 2 remainder 18
4 44 ÷ 18 = 2 remainder 8
5 18 ÷ 8 = 2 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 9516530
35 and 1585530
32 and 38608
57 and 613477
180 and 1856660

Try Calculating LCM of Other Numbers







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