What is the Least Common Multiple of 90780 and 90784?

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 90780 and 90784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90780 and 90784, than apply into the LCM equation.

GCF(90780,90784) = 4
LCM(90780,90784) = ( 90780 × 90784) / 4
LCM(90780,90784) = 8241371520 / 4
LCM(90780,90784) = 2060342880

Least Common Multiple (LCM) of 90780 and 90784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90780 and 90784. First we will calculate the prime factors of 90780 and 90784.

Prime Factorization of 90780

Prime Factorization of 90784

Now multiplying the highest exponent prime factors to calculate the LCM of 90780 and 90784.

LCM(90780,90784) = 2⁵ × 3¹ × 5¹ × 17¹ × 89¹ × 2837¹
LCM(90780,90784) = 2060342880