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Least Common Multiple (LCM) of 153 and 91

The least common multiple (LCM) of 153 and 91 is 13923.

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 153 and 91?

First, calculate the GCD of 153 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 91 = 1 remainder 62
2 91 ÷ 62 = 1 remainder 29
3 62 ÷ 29 = 2 remainder 4
4 29 ÷ 4 = 7 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 1086372
76 and 1425396
165 and 12660
46 and 251150
88 and 817128

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