What is the Least Common Multiple of 90252 and 90258?

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 90252 and 90258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90252 and 90258, than apply into the LCM equation.

GCF(90252,90258) = 6
LCM(90252,90258) = ( 90252 × 90258) / 6
LCM(90252,90258) = 8145965016 / 6
LCM(90252,90258) = 1357660836

Least Common Multiple (LCM) of 90252 and 90258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90252 and 90258. First we will calculate the prime factors of 90252 and 90258.

Prime Factorization of 90252

Prime Factorization of 90258

Now multiplying the highest exponent prime factors to calculate the LCM of 90252 and 90258.

LCM(90252,90258) = 2² × 3² × 23¹ × 109¹ × 7² × 307¹
LCM(90252,90258) = 1357660836