What is the Least Common Multiple of 15642 and 15648?

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 15642 and 15648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15642 and 15648, than apply into the LCM equation.

GCF(15642,15648) = 6
LCM(15642,15648) = ( 15642 × 15648) / 6
LCM(15642,15648) = 244766016 / 6
LCM(15642,15648) = 40794336

Least Common Multiple (LCM) of 15642 and 15648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15642 and 15648. First we will calculate the prime factors of 15642 and 15648.

Prime Factorization of 15642

Prime Factorization of 15648

Now multiplying the highest exponent prime factors to calculate the LCM of 15642 and 15648.

LCM(15642,15648) = 2⁵ × 3² × 11¹ × 79¹ × 163¹
LCM(15642,15648) = 40794336