What is the Least Common Multiple of 90480 and 90492?

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 90480 and 90492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90480 and 90492, than apply into the LCM equation.

GCF(90480,90492) = 12
LCM(90480,90492) = ( 90480 × 90492) / 12
LCM(90480,90492) = 8187716160 / 12
LCM(90480,90492) = 682309680

Least Common Multiple (LCM) of 90480 and 90492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90480 and 90492. First we will calculate the prime factors of 90480 and 90492.

Prime Factorization of 90480

Prime Factorization of 90492

Now multiplying the highest exponent prime factors to calculate the LCM of 90480 and 90492.

LCM(90480,90492) = 2⁴ × 3¹ × 5¹ × 13¹ × 29¹ × 7541¹
LCM(90480,90492) = 682309680