What is the Least Common Multiple of 75498 and 75507?

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 75498 and 75507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75498 and 75507, than apply into the LCM equation.

GCF(75498,75507) = 3
LCM(75498,75507) = ( 75498 × 75507) / 3
LCM(75498,75507) = 5700627486 / 3
LCM(75498,75507) = 1900209162

Least Common Multiple (LCM) of 75498 and 75507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75498 and 75507. First we will calculate the prime factors of 75498 and 75507.

Prime Factorization of 75498

Prime Factorization of 75507

Now multiplying the highest exponent prime factors to calculate the LCM of 75498 and 75507.

LCM(75498,75507) = 2¹ × 3¹ × 12583¹ × 25169¹
LCM(75498,75507) = 1900209162