What is the Least Common Multiple of 11920 and 11925?

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 11920 and 11925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11920 and 11925, than apply into the LCM equation.

GCF(11920,11925) = 5
LCM(11920,11925) = ( 11920 × 11925) / 5
LCM(11920,11925) = 142146000 / 5
LCM(11920,11925) = 28429200

Least Common Multiple (LCM) of 11920 and 11925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11920 and 11925. First we will calculate the prime factors of 11920 and 11925.

Prime Factorization of 11920

Prime Factorization of 11925

Now multiplying the highest exponent prime factors to calculate the LCM of 11920 and 11925.

LCM(11920,11925) = 2⁴ × 5² × 149¹ × 3² × 53¹
LCM(11920,11925) = 28429200