What is the Least Common Multiple of 75492 and 75501?

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 75492 and 75501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75492 and 75501, than apply into the LCM equation.

GCF(75492,75501) = 9
LCM(75492,75501) = ( 75492 × 75501) / 9
LCM(75492,75501) = 5699721492 / 9
LCM(75492,75501) = 633302388

Least Common Multiple (LCM) of 75492 and 75501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75492 and 75501. First we will calculate the prime factors of 75492 and 75501.

Prime Factorization of 75492

Prime Factorization of 75501

Now multiplying the highest exponent prime factors to calculate the LCM of 75492 and 75501.

LCM(75492,75501) = 2² × 3⁴ × 233¹ × 8389¹
LCM(75492,75501) = 633302388