What is the Least Common Multiple of 75270 and 75284?

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 75270 and 75284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75270 and 75284, than apply into the LCM equation.

GCF(75270,75284) = 2
LCM(75270,75284) = ( 75270 × 75284) / 2
LCM(75270,75284) = 5666626680 / 2
LCM(75270,75284) = 2833313340

Least Common Multiple (LCM) of 75270 and 75284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75270 and 75284. First we will calculate the prime factors of 75270 and 75284.

Prime Factorization of 75270

Prime Factorization of 75284

Now multiplying the highest exponent prime factors to calculate the LCM of 75270 and 75284.

LCM(75270,75284) = 2² × 3¹ × 5¹ × 13¹ × 193¹ × 11¹ × 29¹ × 59¹
LCM(75270,75284) = 2833313340