What is the Least Common Multiple of 7444 and 7456?

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 7444 and 7456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7444 and 7456, than apply into the LCM equation.

GCF(7444,7456) = 4
LCM(7444,7456) = ( 7444 × 7456) / 4
LCM(7444,7456) = 55502464 / 4
LCM(7444,7456) = 13875616

Least Common Multiple (LCM) of 7444 and 7456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7444 and 7456. First we will calculate the prime factors of 7444 and 7456.

Prime Factorization of 7444

Prime Factorization of 7456

Now multiplying the highest exponent prime factors to calculate the LCM of 7444 and 7456.

LCM(7444,7456) = 2⁵ × 1861¹ × 233¹
LCM(7444,7456) = 13875616