What is the Least Common Multiple of 90420 and 90438?

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 90420 and 90438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90420 and 90438, than apply into the LCM equation.

GCF(90420,90438) = 6
LCM(90420,90438) = ( 90420 × 90438) / 6
LCM(90420,90438) = 8177403960 / 6
LCM(90420,90438) = 1362900660

Least Common Multiple (LCM) of 90420 and 90438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90420 and 90438. First we will calculate the prime factors of 90420 and 90438.

Prime Factorization of 90420

Prime Factorization of 90438

Now multiplying the highest exponent prime factors to calculate the LCM of 90420 and 90438.

LCM(90420,90438) = 2² × 3¹ × 5¹ × 11¹ × 137¹ × 15073¹
LCM(90420,90438) = 1362900660