What is the Least Common Multiple of 59424 and 59436?

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 59424 and 59436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59424 and 59436, than apply into the LCM equation.

GCF(59424,59436) = 12
LCM(59424,59436) = ( 59424 × 59436) / 12
LCM(59424,59436) = 3531924864 / 12
LCM(59424,59436) = 294327072

Least Common Multiple (LCM) of 59424 and 59436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59424 and 59436. First we will calculate the prime factors of 59424 and 59436.

Prime Factorization of 59424

Prime Factorization of 59436

Now multiplying the highest exponent prime factors to calculate the LCM of 59424 and 59436.

LCM(59424,59436) = 2⁵ × 3² × 619¹ × 13¹ × 127¹
LCM(59424,59436) = 294327072