What is the Least Common Multiple of 40448 and 40456?

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 40448 and 40456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40448 and 40456, than apply into the LCM equation.

GCF(40448,40456) = 8
LCM(40448,40456) = ( 40448 × 40456) / 8
LCM(40448,40456) = 1636364288 / 8
LCM(40448,40456) = 204545536

Least Common Multiple (LCM) of 40448 and 40456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40448 and 40456. First we will calculate the prime factors of 40448 and 40456.

Prime Factorization of 40448

Prime Factorization of 40456

Now multiplying the highest exponent prime factors to calculate the LCM of 40448 and 40456.

LCM(40448,40456) = 2⁹ × 79¹ × 13¹ × 389¹
LCM(40448,40456) = 204545536