What is the Least Common Multiple of 15603 and 15619?

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 15603 and 15619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15603 and 15619, than apply into the LCM equation.

GCF(15603,15619) = 1
LCM(15603,15619) = ( 15603 × 15619) / 1
LCM(15603,15619) = 243703257 / 1
LCM(15603,15619) = 243703257

Least Common Multiple (LCM) of 15603 and 15619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15603 and 15619. First we will calculate the prime factors of 15603 and 15619.

Prime Factorization of 15603

Prime Factorization of 15619

Now multiplying the highest exponent prime factors to calculate the LCM of 15603 and 15619.

LCM(15603,15619) = 3¹ × 7¹ × 743¹ × 15619¹
LCM(15603,15619) = 243703257