What is the Least Common Multiple of 57630 and 57642?

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 57630 and 57642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57630 and 57642, than apply into the LCM equation.

GCF(57630,57642) = 6
LCM(57630,57642) = ( 57630 × 57642) / 6
LCM(57630,57642) = 3321908460 / 6
LCM(57630,57642) = 553651410

Least Common Multiple (LCM) of 57630 and 57642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57630 and 57642. First we will calculate the prime factors of 57630 and 57642.

Prime Factorization of 57630

Prime Factorization of 57642

Now multiplying the highest exponent prime factors to calculate the LCM of 57630 and 57642.

LCM(57630,57642) = 2¹ × 3¹ × 5¹ × 17¹ × 113¹ × 13¹ × 739¹
LCM(57630,57642) = 553651410