What is the Least Common Multiple of 7430 and 7448?

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 7430 and 7448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7448, than apply into the LCM equation.

GCF(7430,7448) = 2
LCM(7430,7448) = ( 7430 × 7448) / 2
LCM(7430,7448) = 55338640 / 2
LCM(7430,7448) = 27669320

Least Common Multiple (LCM) of 7430 and 7448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7448. First we will calculate the prime factors of 7430 and 7448.

Prime Factorization of 7430

Prime Factorization of 7448

Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7448.

LCM(7430,7448) = 2³ × 5¹ × 743¹ × 7² × 19¹
LCM(7430,7448) = 27669320