What is the Least Common Multiple of 7491 and 7499?

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 7491 and 7499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7491 and 7499, than apply into the LCM equation.

GCF(7491,7499) = 1
LCM(7491,7499) = ( 7491 × 7499) / 1
LCM(7491,7499) = 56175009 / 1
LCM(7491,7499) = 56175009

Least Common Multiple (LCM) of 7491 and 7499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7491 and 7499. First we will calculate the prime factors of 7491 and 7499.

Prime Factorization of 7491

Prime Factorization of 7499

Now multiplying the highest exponent prime factors to calculate the LCM of 7491 and 7499.

LCM(7491,7499) = 3¹ × 11¹ × 227¹ × 7499¹
LCM(7491,7499) = 56175009