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Least Common Multiple (LCM) of 94 and 153

The least common multiple (LCM) of 94 and 153 is 14382.

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 94 and 153?

First, calculate the GCD of 94 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 153 = 0 remainder 94
2 153 ÷ 94 = 1 remainder 59
3 94 ÷ 59 = 1 remainder 35
4 59 ÷ 35 = 1 remainder 24
5 35 ÷ 24 = 1 remainder 11
6 24 ÷ 11 = 2 remainder 2
7 11 ÷ 2 = 5 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 715893
190 and 12611970
57 and 1317467
60 and 1362040
68 and 921564

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