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Least Common Multiple (LCM) of 46 and 61

The least common multiple (LCM) of 46 and 61 is 2806.

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 46 and 61?

First, calculate the GCD of 46 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 61 = 0 remainder 46
2 61 ÷ 46 = 1 remainder 15
3 46 ÷ 15 = 3 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 15118724
187 and 7814586
124 and 10620
154 and 1209240
119 and 1332261

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