What is the Least Common Multiple of 7480 and 7488?

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 7488 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 7488, than apply into the LCM equation.

GCF(7480,7488) = 8
LCM(7480,7488) = ( 7480 × 7488) / 8
LCM(7480,7488) = 56010240 / 8
LCM(7480,7488) = 7001280

Least Common Multiple (LCM) of 7480 and 7488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7480 and 7488. First we will calculate the prime factors of 7480 and 7488.

Prime Factorization of 7480

Prime Factorization of 7488

Now multiplying the highest exponent prime factors to calculate the LCM of 7480 and 7488.

LCM(7480,7488) = 2⁶ × 5¹ × 11¹ × 17¹ × 3² × 13¹
LCM(7480,7488) = 7001280