What is the Least Common Multiple of 76448 and 76458?

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 76448 and 76458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76448 and 76458, than apply into the LCM equation.

GCF(76448,76458) = 2
LCM(76448,76458) = ( 76448 × 76458) / 2
LCM(76448,76458) = 5845061184 / 2
LCM(76448,76458) = 2922530592

Least Common Multiple (LCM) of 76448 and 76458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76448 and 76458. First we will calculate the prime factors of 76448 and 76458.

Prime Factorization of 76448

Prime Factorization of 76458

Now multiplying the highest exponent prime factors to calculate the LCM of 76448 and 76458.

LCM(76448,76458) = 2⁵ × 2389¹ × 3¹ × 12743¹
LCM(76448,76458) = 2922530592