What is the Least Common Multiple of 7440 and 7460?

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 7440 and 7460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7440 and 7460, than apply into the LCM equation.

GCF(7440,7460) = 20
LCM(7440,7460) = ( 7440 × 7460) / 20
LCM(7440,7460) = 55502400 / 20
LCM(7440,7460) = 2775120

Least Common Multiple (LCM) of 7440 and 7460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7440 and 7460. First we will calculate the prime factors of 7440 and 7460.

Prime Factorization of 7440

Prime Factorization of 7460

Now multiplying the highest exponent prime factors to calculate the LCM of 7440 and 7460.

LCM(7440,7460) = 2⁴ × 3¹ × 5¹ × 31¹ × 373¹
LCM(7440,7460) = 2775120