What is the Least Common Multiple of 54474 and 54489?

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 54474 and 54489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54474 and 54489, than apply into the LCM equation.

GCF(54474,54489) = 3
LCM(54474,54489) = ( 54474 × 54489) / 3
LCM(54474,54489) = 2968233786 / 3
LCM(54474,54489) = 989411262

Least Common Multiple (LCM) of 54474 and 54489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54474 and 54489. First we will calculate the prime factors of 54474 and 54489.

Prime Factorization of 54474

Prime Factorization of 54489

Now multiplying the highest exponent prime factors to calculate the LCM of 54474 and 54489.

LCM(54474,54489) = 2¹ × 3¹ × 7¹ × 1297¹ × 41¹ × 443¹
LCM(54474,54489) = 989411262