What is the Least Common Multiple of 59364 and 59378?

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 59364 and 59378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59364 and 59378, than apply into the LCM equation.

GCF(59364,59378) = 2
LCM(59364,59378) = ( 59364 × 59378) / 2
LCM(59364,59378) = 3524915592 / 2
LCM(59364,59378) = 1762457796

Least Common Multiple (LCM) of 59364 and 59378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59364 and 59378. First we will calculate the prime factors of 59364 and 59378.

Prime Factorization of 59364

Prime Factorization of 59378

Now multiplying the highest exponent prime factors to calculate the LCM of 59364 and 59378.

LCM(59364,59378) = 2² × 3² × 17¹ × 97¹ × 11¹ × 2699¹
LCM(59364,59378) = 1762457796