What is the Least Common Multiple of 15642 and 15653?

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 15653 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 15653, than apply into the LCM equation.

GCF(15642,15653) = 11
LCM(15642,15653) = ( 15642 × 15653) / 11
LCM(15642,15653) = 244844226 / 11
LCM(15642,15653) = 22258566

Least Common Multiple (LCM) of 15642 and 15653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15642 and 15653. First we will calculate the prime factors of 15642 and 15653.

Prime Factorization of 15642

Prime Factorization of 15653

Now multiplying the highest exponent prime factors to calculate the LCM of 15642 and 15653.

LCM(15642,15653) = 2¹ × 3² × 11¹ × 79¹ × 1423¹
LCM(15642,15653) = 22258566