What is the Least Common Multiple of 60597 and 60613?

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 60597 and 60613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60597 and 60613, than apply into the LCM equation.

GCF(60597,60613) = 1
LCM(60597,60613) = ( 60597 × 60613) / 1
LCM(60597,60613) = 3672965961 / 1
LCM(60597,60613) = 3672965961

Least Common Multiple (LCM) of 60597 and 60613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60597 and 60613. First we will calculate the prime factors of 60597 and 60613.

Prime Factorization of 60597

Prime Factorization of 60613

Now multiplying the highest exponent prime factors to calculate the LCM of 60597 and 60613.

LCM(60597,60613) = 3² × 6733¹ × 7² × 1237¹
LCM(60597,60613) = 3672965961