What is the Least Common Multiple of 59412 and 59424?

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 59412 and 59424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59412 and 59424, than apply into the LCM equation.

GCF(59412,59424) = 12
LCM(59412,59424) = ( 59412 × 59424) / 12
LCM(59412,59424) = 3530498688 / 12
LCM(59412,59424) = 294208224

Least Common Multiple (LCM) of 59412 and 59424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59412 and 59424. First we will calculate the prime factors of 59412 and 59424.

Prime Factorization of 59412

Prime Factorization of 59424

Now multiplying the highest exponent prime factors to calculate the LCM of 59412 and 59424.

LCM(59412,59424) = 2⁵ × 3¹ × 4951¹ × 619¹
LCM(59412,59424) = 294208224