What is the Least Common Multiple of 93570 and 93588?

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 93570 and 93588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93570 and 93588, than apply into the LCM equation.

GCF(93570,93588) = 6
LCM(93570,93588) = ( 93570 × 93588) / 6
LCM(93570,93588) = 8757029160 / 6
LCM(93570,93588) = 1459504860

Least Common Multiple (LCM) of 93570 and 93588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93570 and 93588. First we will calculate the prime factors of 93570 and 93588.

Prime Factorization of 93570

Prime Factorization of 93588

Now multiplying the highest exponent prime factors to calculate the LCM of 93570 and 93588.

LCM(93570,93588) = 2² × 3¹ × 5¹ × 3119¹ × 11¹ × 709¹
LCM(93570,93588) = 1459504860