What is the Least Common Multiple of 59600 and 59613?

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 59600 and 59613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59600 and 59613, than apply into the LCM equation.

GCF(59600,59613) = 1
LCM(59600,59613) = ( 59600 × 59613) / 1
LCM(59600,59613) = 3552934800 / 1
LCM(59600,59613) = 3552934800

Least Common Multiple (LCM) of 59600 and 59613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59600 and 59613. First we will calculate the prime factors of 59600 and 59613.

Prime Factorization of 59600

Prime Factorization of 59613

Now multiplying the highest exponent prime factors to calculate the LCM of 59600 and 59613.

LCM(59600,59613) = 2⁴ × 5² × 149¹ × 3¹ × 31¹ × 641¹
LCM(59600,59613) = 3552934800