What is the Least Common Multiple of 57642 and 57648?

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 57642 and 57648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57642 and 57648, than apply into the LCM equation.

GCF(57642,57648) = 6
LCM(57642,57648) = ( 57642 × 57648) / 6
LCM(57642,57648) = 3322946016 / 6
LCM(57642,57648) = 553824336

Least Common Multiple (LCM) of 57642 and 57648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57642 and 57648. First we will calculate the prime factors of 57642 and 57648.

Prime Factorization of 57642

Prime Factorization of 57648

Now multiplying the highest exponent prime factors to calculate the LCM of 57642 and 57648.

LCM(57642,57648) = 2⁴ × 3¹ × 13¹ × 739¹ × 1201¹
LCM(57642,57648) = 553824336