What is the Least Common Multiple of 7494 and 7509?

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 7494 and 7509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7494 and 7509, than apply into the LCM equation.

GCF(7494,7509) = 3
LCM(7494,7509) = ( 7494 × 7509) / 3
LCM(7494,7509) = 56272446 / 3
LCM(7494,7509) = 18757482

Least Common Multiple (LCM) of 7494 and 7509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7509. First we will calculate the prime factors of 7494 and 7509.

Prime Factorization of 7494

Prime Factorization of 7509

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7509.

LCM(7494,7509) = 2¹ × 3¹ × 1249¹ × 2503¹
LCM(7494,7509) = 18757482