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Least Common Multiple (LCM) of 178 and 158

The least common multiple (LCM) of 178 and 158 is 14062.

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 178 and 158?

First, calculate the GCD of 178 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 158 = 1 remainder 20
2 158 ÷ 20 = 7 remainder 18
3 20 ÷ 18 = 1 remainder 2
4 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 11910710
43 and 1094687
155 and 8913795
187 and 11421318
152 and 1164408

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