What is the Least Common Multiple of 7476 and 7491?

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 7476 and 7491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7476 and 7491, than apply into the LCM equation.

GCF(7476,7491) = 3
LCM(7476,7491) = ( 7476 × 7491) / 3
LCM(7476,7491) = 56002716 / 3
LCM(7476,7491) = 18667572

Least Common Multiple (LCM) of 7476 and 7491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7476 and 7491. First we will calculate the prime factors of 7476 and 7491.

Prime Factorization of 7476

Prime Factorization of 7491

Now multiplying the highest exponent prime factors to calculate the LCM of 7476 and 7491.

LCM(7476,7491) = 2² × 3¹ × 7¹ × 89¹ × 11¹ × 227¹
LCM(7476,7491) = 18667572