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Least Common Multiple (LCM) of 23 and 58

The least common multiple (LCM) of 23 and 58 is 1334.

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 23 and 58?

First, calculate the GCD of 23 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 58 = 0 remainder 23
2 58 ÷ 23 = 2 remainder 12
3 23 ÷ 12 = 1 remainder 11
4 12 ÷ 11 = 1 remainder 1
5 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 19939203
96 and 15514880
124 and 12372
86 and 151290
74 and 1244588

Try Calculating LCM of Other Numbers







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