What is the Least Common Multiple of 90438 and 90453?

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 90438 and 90453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90438 and 90453, than apply into the LCM equation.

GCF(90438,90453) = 3
LCM(90438,90453) = ( 90438 × 90453) / 3
LCM(90438,90453) = 8180388414 / 3
LCM(90438,90453) = 2726796138

Least Common Multiple (LCM) of 90438 and 90453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90438 and 90453. First we will calculate the prime factors of 90438 and 90453.

Prime Factorization of 90438

Prime Factorization of 90453

Now multiplying the highest exponent prime factors to calculate the LCM of 90438 and 90453.

LCM(90438,90453) = 2¹ × 3¹ × 15073¹ × 11¹ × 2741¹
LCM(90438,90453) = 2726796138