What is the Least Common Multiple of 15735 and 15744?

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 15735 and 15744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15735 and 15744, than apply into the LCM equation.

GCF(15735,15744) = 3
LCM(15735,15744) = ( 15735 × 15744) / 3
LCM(15735,15744) = 247731840 / 3
LCM(15735,15744) = 82577280

Least Common Multiple (LCM) of 15735 and 15744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15735 and 15744. First we will calculate the prime factors of 15735 and 15744.

Prime Factorization of 15735

Prime Factorization of 15744

Now multiplying the highest exponent prime factors to calculate the LCM of 15735 and 15744.

LCM(15735,15744) = 3¹ × 5¹ × 1049¹ × 2⁷ × 41¹
LCM(15735,15744) = 82577280