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Least Common Multiple (LCM) of 109 and 153

The least common multiple (LCM) of 109 and 153 is 16677.

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 109 and 153?

First, calculate the GCD of 109 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 153 = 0 remainder 109
2 153 ÷ 109 = 1 remainder 44
3 109 ÷ 44 = 2 remainder 21
4 44 ÷ 21 = 2 remainder 2
5 21 ÷ 2 = 10 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 15122650
140 and 140140
50 and 1864650
83 and 373071
92 and 837636

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