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Least Common Multiple (LCM) of 45 and 119

The least common multiple (LCM) of 45 and 119 is 5355.

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 119?

First, calculate the GCD of 45 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 119 = 0 remainder 45
2 119 ÷ 45 = 2 remainder 29
3 45 ÷ 29 = 1 remainder 16
4 29 ÷ 16 = 1 remainder 13
5 16 ÷ 13 = 1 remainder 3
6 13 ÷ 3 = 4 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 573876
52 and 854420
53 and 643392
95 and 11110545
67 and 825494

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