What is the Least Common Multiple of 75420 and 75435?

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 75420 and 75435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75420 and 75435, than apply into the LCM equation.

GCF(75420,75435) = 15
LCM(75420,75435) = ( 75420 × 75435) / 15
LCM(75420,75435) = 5689307700 / 15
LCM(75420,75435) = 379287180

Least Common Multiple (LCM) of 75420 and 75435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75420 and 75435. First we will calculate the prime factors of 75420 and 75435.

Prime Factorization of 75420

Prime Factorization of 75435

Now multiplying the highest exponent prime factors to calculate the LCM of 75420 and 75435.

LCM(75420,75435) = 2² × 3² × 5¹ × 419¹ × 47¹ × 107¹
LCM(75420,75435) = 379287180