What is the Least Common Multiple of 7494 and 7510?

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 7510 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 7510, than apply into the LCM equation.

GCF(7494,7510) = 2
LCM(7494,7510) = ( 7494 × 7510) / 2
LCM(7494,7510) = 56279940 / 2
LCM(7494,7510) = 28139970

Least Common Multiple (LCM) of 7494 and 7510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7510. First we will calculate the prime factors of 7494 and 7510.

Prime Factorization of 7494

Prime Factorization of 7510

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7510.

LCM(7494,7510) = 2¹ × 3¹ × 1249¹ × 5¹ × 751¹
LCM(7494,7510) = 28139970