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Least Common Multiple (LCM) of 159 and 148

The least common multiple (LCM) of 159 and 148 is 23532.

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 159 and 148?

First, calculate the GCD of 159 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 148 = 1 remainder 11
2 148 ÷ 11 = 13 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
45 and 522340
142 and 19613916
16 and 44176
70 and 674690
17 and 8585

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