What is the Least Common Multiple of 93675 and 93680?

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 93675 and 93680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93675 and 93680, than apply into the LCM equation.

GCF(93675,93680) = 5
LCM(93675,93680) = ( 93675 × 93680) / 5
LCM(93675,93680) = 8775474000 / 5
LCM(93675,93680) = 1755094800

Least Common Multiple (LCM) of 93675 and 93680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93675 and 93680. First we will calculate the prime factors of 93675 and 93680.

Prime Factorization of 93675

Prime Factorization of 93680

Now multiplying the highest exponent prime factors to calculate the LCM of 93675 and 93680.

LCM(93675,93680) = 3¹ × 5² × 1249¹ × 2⁴ × 1171¹
LCM(93675,93680) = 1755094800