What is the Least Common Multiple of 1503 and 1516?

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 1503 and 1516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1503 and 1516, than apply into the LCM equation.

GCF(1503,1516) = 1
LCM(1503,1516) = ( 1503 × 1516) / 1
LCM(1503,1516) = 2278548 / 1
LCM(1503,1516) = 2278548

Least Common Multiple (LCM) of 1503 and 1516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1503 and 1516. First we will calculate the prime factors of 1503 and 1516.

Prime Factorization of 1503

Prime Factorization of 1516

Now multiplying the highest exponent prime factors to calculate the LCM of 1503 and 1516.

LCM(1503,1516) = 3² × 167¹ × 2² × 379¹
LCM(1503,1516) = 2278548