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Least Common Multiple (LCM) of 150 and 91

The least common multiple (LCM) of 150 and 91 is 13650.

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 91?

First, calculate the GCD of 150 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 91 = 1 remainder 59
2 91 ÷ 59 = 1 remainder 32
3 59 ÷ 32 = 1 remainder 27
4 32 ÷ 27 = 1 remainder 5
5 27 ÷ 5 = 5 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 132509
49 and 1024998
140 and 517140
93 and 11610788
176 and 1028976

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