What is the Least Common Multiple of 90720 and 90738?

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 90720 and 90738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90720 and 90738, than apply into the LCM equation.

GCF(90720,90738) = 18
LCM(90720,90738) = ( 90720 × 90738) / 18
LCM(90720,90738) = 8231751360 / 18
LCM(90720,90738) = 457319520

Least Common Multiple (LCM) of 90720 and 90738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90720 and 90738. First we will calculate the prime factors of 90720 and 90738.

Prime Factorization of 90720

Prime Factorization of 90738

Now multiplying the highest exponent prime factors to calculate the LCM of 90720 and 90738.

LCM(90720,90738) = 2⁵ × 3⁴ × 5¹ × 7¹ × 71²
LCM(90720,90738) = 457319520