What is the Least Common Multiple of 59564 and 59579?

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 59564 and 59579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59564 and 59579, than apply into the LCM equation.

GCF(59564,59579) = 1
LCM(59564,59579) = ( 59564 × 59579) / 1
LCM(59564,59579) = 3548763556 / 1
LCM(59564,59579) = 3548763556

Least Common Multiple (LCM) of 59564 and 59579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59564 and 59579. First we will calculate the prime factors of 59564 and 59579.

Prime Factorization of 59564

Prime Factorization of 59579

Now multiplying the highest exponent prime factors to calculate the LCM of 59564 and 59579.

LCM(59564,59579) = 2² × 14891¹ × 13¹ × 4583¹
LCM(59564,59579) = 3548763556