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Least Common Multiple (LCM) of 153 and 94

The least common multiple (LCM) of 153 and 94 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 153 and 94?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
197 and 10220094
49 and 854165
144 and 221584
178 and 8515130
138 and 184552

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