What is the Least Common Multiple of 90471 and 90480?

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 90471 and 90480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90471 and 90480, than apply into the LCM equation.

GCF(90471,90480) = 3
LCM(90471,90480) = ( 90471 × 90480) / 3
LCM(90471,90480) = 8185816080 / 3
LCM(90471,90480) = 2728605360

Least Common Multiple (LCM) of 90471 and 90480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90471 and 90480. First we will calculate the prime factors of 90471 and 90480.

Prime Factorization of 90471

Prime Factorization of 90480

Now multiplying the highest exponent prime factors to calculate the LCM of 90471 and 90480.

LCM(90471,90480) = 3¹ × 53¹ × 569¹ × 2⁴ × 5¹ × 13¹ × 29¹
LCM(90471,90480) = 2728605360