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Least Common Multiple (LCM) of 45 and 59

The least common multiple (LCM) of 45 and 59 is 2655.

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 45 and 59?

First, calculate the GCD of 45 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 59 = 0 remainder 45
2 59 ÷ 45 = 1 remainder 14
3 45 ÷ 14 = 3 remainder 3
4 14 ÷ 3 = 4 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 818910
195 and 14628470
60 and 1223660
140 and 56280
16 and 74592

Try Calculating LCM of Other Numbers







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