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Least Common Multiple (LCM) of 35 and 71

The least common multiple (LCM) of 35 and 71 is 2485.

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 35 and 71?

First, calculate the GCD of 35 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 35 ÷ 71 = 0 remainder 35
2 71 ÷ 35 = 2 remainder 1
3 35 ÷ 1 = 35 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 9413818
57 and 502850
37 and 24888
125 and 10913625
142 and 926532

Try Calculating LCM of Other Numbers







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