HowManyNumbers Logo

Least Common Multiple (LCM) of 178 and 23

The least common multiple (LCM) of 178 and 23 is 4094.

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 178 and 23?

First, calculate the GCD of 178 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 23 = 7 remainder 17
2 23 ÷ 17 = 1 remainder 6
3 17 ÷ 6 = 2 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 10819980
114 and 18410488
196 and 275292
164 and 15124764
61 and 1468906

Try Calculating LCM of Other Numbers







Related Calculators