What is the Least Common Multiple of 7480 and 7489?

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 7489 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 7489, than apply into the LCM equation.

GCF(7480,7489) = 1
LCM(7480,7489) = ( 7480 × 7489) / 1
LCM(7480,7489) = 56017720 / 1
LCM(7480,7489) = 56017720

Least Common Multiple (LCM) of 7480 and 7489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7489. First we will calculate the prime factors of 7480 and 7489.

Prime Factorization of 7480

Prime Factorization of 7489

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7489.

LCM(7480,7489) = 2³ × 5¹ × 11¹ × 17¹ × 7489¹
LCM(7480,7489) = 56017720