What is the Least Common Multiple of 25920 and 25932?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25920 and 25932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25920 and 25932, than apply into the LCM equation.

GCF(25920,25932) = 12
LCM(25920,25932) = ( 25920 × 25932) / 12
LCM(25920,25932) = 672157440 / 12
LCM(25920,25932) = 56013120

Least Common Multiple (LCM) of 25920 and 25932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25920 and 25932. First we will calculate the prime factors of 25920 and 25932.

Prime Factorization of 25920

Prime Factorization of 25932

Now multiplying the highest exponent prime factors to calculate the LCM of 25920 and 25932.

LCM(25920,25932) = 2⁶ × 3⁴ × 5¹ × 2161¹
LCM(25920,25932) = 56013120