What is the Least Common Multiple of 59346 and 59364?

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 59346 and 59364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59346 and 59364, than apply into the LCM equation.

GCF(59346,59364) = 18
LCM(59346,59364) = ( 59346 × 59364) / 18
LCM(59346,59364) = 3523015944 / 18
LCM(59346,59364) = 195723108

Least Common Multiple (LCM) of 59346 and 59364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59346 and 59364. First we will calculate the prime factors of 59346 and 59364.

Prime Factorization of 59346

Prime Factorization of 59364

Now multiplying the highest exponent prime factors to calculate the LCM of 59346 and 59364.

LCM(59346,59364) = 2² × 3³ × 7¹ × 157¹ × 17¹ × 97¹
LCM(59346,59364) = 195723108