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Least Common Multiple (LCM) of 61 and 10

The least common multiple (LCM) of 61 and 10 is 610.

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 61 and 10?

First, calculate the GCD of 61 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 10 = 6 remainder 1
2 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
14 and 48336
52 and 1503900
93 and 3193
124 and 577068
112 and 744144

Try Calculating LCM of Other Numbers







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