What is the Least Common Multiple of 78448 and 78454?

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 78448 and 78454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78448 and 78454, than apply into the LCM equation.

GCF(78448,78454) = 2
LCM(78448,78454) = ( 78448 × 78454) / 2
LCM(78448,78454) = 6154559392 / 2
LCM(78448,78454) = 3077279696

Least Common Multiple (LCM) of 78448 and 78454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78448 and 78454. First we will calculate the prime factors of 78448 and 78454.

Prime Factorization of 78448

Prime Factorization of 78454

Now multiplying the highest exponent prime factors to calculate the LCM of 78448 and 78454.

LCM(78448,78454) = 2⁴ × 4903¹ × 39227¹
LCM(78448,78454) = 3077279696