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Least Common Multiple (LCM) of 61 and 14

The least common multiple (LCM) of 61 and 14 is 854.

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 14?

First, calculate the GCD of 61 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 14 = 4 remainder 5
2 14 ÷ 5 = 2 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 1897560
120 and 19411640
64 and 1986336
19 and 631197
191 and 17032470

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