What is the Least Common Multiple of 59358 and 59372?

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 59358 and 59372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59358 and 59372, than apply into the LCM equation.

GCF(59358,59372) = 2
LCM(59358,59372) = ( 59358 × 59372) / 2
LCM(59358,59372) = 3524203176 / 2
LCM(59358,59372) = 1762101588

Least Common Multiple (LCM) of 59358 and 59372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59358 and 59372. First we will calculate the prime factors of 59358 and 59372.

Prime Factorization of 59358

Prime Factorization of 59372

Now multiplying the highest exponent prime factors to calculate the LCM of 59358 and 59372.

LCM(59358,59372) = 2² × 3¹ × 13¹ × 761¹ × 14843¹
LCM(59358,59372) = 1762101588