What is the Least Common Multiple of 59148 and 59152?

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 59148 and 59152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59148 and 59152, than apply into the LCM equation.

GCF(59148,59152) = 4
LCM(59148,59152) = ( 59148 × 59152) / 4
LCM(59148,59152) = 3498722496 / 4
LCM(59148,59152) = 874680624

Least Common Multiple (LCM) of 59148 and 59152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59148 and 59152. First we will calculate the prime factors of 59148 and 59152.

Prime Factorization of 59148

Prime Factorization of 59152

Now multiplying the highest exponent prime factors to calculate the LCM of 59148 and 59152.

LCM(59148,59152) = 2⁴ × 3² × 31¹ × 53¹ × 3697¹
LCM(59148,59152) = 874680624