What is the Least Common Multiple of 90507 and 90516?

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 90507 and 90516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90507 and 90516, than apply into the LCM equation.

GCF(90507,90516) = 3
LCM(90507,90516) = ( 90507 × 90516) / 3
LCM(90507,90516) = 8192331612 / 3
LCM(90507,90516) = 2730777204

Least Common Multiple (LCM) of 90507 and 90516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90507 and 90516. First we will calculate the prime factors of 90507 and 90516.

Prime Factorization of 90507

Prime Factorization of 90516

Now multiplying the highest exponent prime factors to calculate the LCM of 90507 and 90516.

LCM(90507,90516) = 3¹ × 30169¹ × 2² × 19¹ × 397¹
LCM(90507,90516) = 2730777204