What is the Least Common Multiple of 7480 and 7496?

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 7480 and 7496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7480 and 7496, than apply into the LCM equation.

GCF(7480,7496) = 8
LCM(7480,7496) = ( 7480 × 7496) / 8
LCM(7480,7496) = 56070080 / 8
LCM(7480,7496) = 7008760

Least Common Multiple (LCM) of 7480 and 7496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7496. First we will calculate the prime factors of 7480 and 7496.

Prime Factorization of 7480

Prime Factorization of 7496

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7496.

LCM(7480,7496) = 2³ × 5¹ × 11¹ × 17¹ × 937¹
LCM(7480,7496) = 7008760