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Least Common Multiple (LCM) of 140 and 174

The least common multiple (LCM) of 140 and 174 is 12180.

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 140 and 174?

First, calculate the GCD of 140 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 174 = 0 remainder 140
2 174 ÷ 140 = 1 remainder 34
3 140 ÷ 34 = 4 remainder 4
4 34 ÷ 4 = 8 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 15615132
158 and 11317854
83 and 13911537
187 and 55935
193 and 479071

Try Calculating LCM of Other Numbers







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