What is the Least Common Multiple of 90480 and 90488?

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 90488 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 90488, than apply into the LCM equation.

GCF(90480,90488) = 8
LCM(90480,90488) = ( 90480 × 90488) / 8
LCM(90480,90488) = 8187354240 / 8
LCM(90480,90488) = 1023419280

Least Common Multiple (LCM) of 90480 and 90488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90480 and 90488. First we will calculate the prime factors of 90480 and 90488.

Prime Factorization of 90480

Prime Factorization of 90488

Now multiplying the highest exponent prime factors to calculate the LCM of 90480 and 90488.

LCM(90480,90488) = 2⁴ × 3¹ × 5¹ × 13¹ × 29¹ × 11311¹
LCM(90480,90488) = 1023419280