HowManyNumbers Logo

Least Common Multiple (LCM) of 13 and 148

The least common multiple (LCM) of 13 and 148 is 1924.

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 13 and 148?

First, calculate the GCD of 13 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 148 = 0 remainder 13
2 148 ÷ 13 = 11 remainder 5
3 13 ÷ 5 = 2 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
64 and 1439152
38 and 1542926
193 and 10420072
34 and 601020
138 and 375106

Try Calculating LCM of Other Numbers







Related Calculators