What is the Least Common Multiple of 8448 and 8457?

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 8448 and 8457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8448 and 8457, than apply into the LCM equation.

GCF(8448,8457) = 3
LCM(8448,8457) = ( 8448 × 8457) / 3
LCM(8448,8457) = 71444736 / 3
LCM(8448,8457) = 23814912

Least Common Multiple (LCM) of 8448 and 8457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8457. First we will calculate the prime factors of 8448 and 8457.

Prime Factorization of 8448

Prime Factorization of 8457

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8457.

LCM(8448,8457) = 2⁸ × 3¹ × 11¹ × 2819¹
LCM(8448,8457) = 23814912