What is the Least Common Multiple of 90480 and 90495?

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 90495 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 90495, than apply into the LCM equation.

GCF(90480,90495) = 15
LCM(90480,90495) = ( 90480 × 90495) / 15
LCM(90480,90495) = 8187987600 / 15
LCM(90480,90495) = 545865840

Least Common Multiple (LCM) of 90480 and 90495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90480 and 90495. First we will calculate the prime factors of 90480 and 90495.

Prime Factorization of 90480

Prime Factorization of 90495

Now multiplying the highest exponent prime factors to calculate the LCM of 90480 and 90495.

LCM(90480,90495) = 2⁴ × 3² × 5¹ × 13¹ × 29¹ × 2011¹
LCM(90480,90495) = 545865840