What is the Least Common Multiple of 75570 and 75585?

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 75570 and 75585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75570 and 75585, than apply into the LCM equation.

GCF(75570,75585) = 15
LCM(75570,75585) = ( 75570 × 75585) / 15
LCM(75570,75585) = 5711958450 / 15
LCM(75570,75585) = 380797230

Least Common Multiple (LCM) of 75570 and 75585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75570 and 75585. First we will calculate the prime factors of 75570 and 75585.

Prime Factorization of 75570

Prime Factorization of 75585

Now multiplying the highest exponent prime factors to calculate the LCM of 75570 and 75585.

LCM(75570,75585) = 2¹ × 3¹ × 5¹ × 11¹ × 229¹ × 5039¹
LCM(75570,75585) = 380797230