What is the Least Common Multiple of 7440 and 7444?

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 7444 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 7444, than apply into the LCM equation.

GCF(7440,7444) = 4
LCM(7440,7444) = ( 7440 × 7444) / 4
LCM(7440,7444) = 55383360 / 4
LCM(7440,7444) = 13845840

Least Common Multiple (LCM) of 7440 and 7444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7440 and 7444. First we will calculate the prime factors of 7440 and 7444.

Prime Factorization of 7440

Prime Factorization of 7444

Now multiplying the highest exponent prime factors to calculate the LCM of 7440 and 7444.

LCM(7440,7444) = 2⁴ × 3¹ × 5¹ × 31¹ × 1861¹
LCM(7440,7444) = 13845840