What is the Least Common Multiple of 93576 and 93580?

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 93576 and 93580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93576 and 93580, than apply into the LCM equation.

GCF(93576,93580) = 4
LCM(93576,93580) = ( 93576 × 93580) / 4
LCM(93576,93580) = 8756842080 / 4
LCM(93576,93580) = 2189210520

Least Common Multiple (LCM) of 93576 and 93580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93576 and 93580. First we will calculate the prime factors of 93576 and 93580.

Prime Factorization of 93576

Prime Factorization of 93580

Now multiplying the highest exponent prime factors to calculate the LCM of 93576 and 93580.

LCM(93576,93580) = 2³ × 3¹ × 7¹ × 557¹ × 5¹ × 4679¹
LCM(93576,93580) = 2189210520