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Least Common Multiple (LCM) of 46 and 65

The least common multiple (LCM) of 46 and 65 is 2990.

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 65?

First, calculate the GCD of 46 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 65 = 0 remainder 46
2 65 ÷ 46 = 1 remainder 19
3 46 ÷ 19 = 2 remainder 8
4 19 ÷ 8 = 2 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 16510395
95 and 11611020
100 and 191900
88 and 16176
136 and 1308840

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