What is the Least Common Multiple of 57030 and 57048?

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 57030 and 57048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57030 and 57048, than apply into the LCM equation.

GCF(57030,57048) = 6
LCM(57030,57048) = ( 57030 × 57048) / 6
LCM(57030,57048) = 3253447440 / 6
LCM(57030,57048) = 542241240

Least Common Multiple (LCM) of 57030 and 57048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57030 and 57048. First we will calculate the prime factors of 57030 and 57048.

Prime Factorization of 57030

Prime Factorization of 57048

Now multiplying the highest exponent prime factors to calculate the LCM of 57030 and 57048.

LCM(57030,57048) = 2³ × 3¹ × 5¹ × 1901¹ × 2377¹
LCM(57030,57048) = 542241240