What is the Least Common Multiple of 7448 and 7458?

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 7448 and 7458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7448 and 7458, than apply into the LCM equation.

GCF(7448,7458) = 2
LCM(7448,7458) = ( 7448 × 7458) / 2
LCM(7448,7458) = 55547184 / 2
LCM(7448,7458) = 27773592

Least Common Multiple (LCM) of 7448 and 7458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7448 and 7458. First we will calculate the prime factors of 7448 and 7458.

Prime Factorization of 7448

Prime Factorization of 7458

Now multiplying the highest exponent prime factors to calculate the LCM of 7448 and 7458.

LCM(7448,7458) = 2³ × 7² × 19¹ × 3¹ × 11¹ × 113¹
LCM(7448,7458) = 27773592