What is the Least Common Multiple of 75195 and 75213?

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 75195 and 75213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75195 and 75213, than apply into the LCM equation.

GCF(75195,75213) = 9
LCM(75195,75213) = ( 75195 × 75213) / 9
LCM(75195,75213) = 5655641535 / 9
LCM(75195,75213) = 628404615

Least Common Multiple (LCM) of 75195 and 75213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75195 and 75213. First we will calculate the prime factors of 75195 and 75213.

Prime Factorization of 75195

Prime Factorization of 75213

Now multiplying the highest exponent prime factors to calculate the LCM of 75195 and 75213.

LCM(75195,75213) = 3³ × 5¹ × 557¹ × 61¹ × 137¹
LCM(75195,75213) = 628404615