What is the Least Common Multiple of 78642 and 78656?

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 78642 and 78656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78642 and 78656, than apply into the LCM equation.

GCF(78642,78656) = 2
LCM(78642,78656) = ( 78642 × 78656) / 2
LCM(78642,78656) = 6185665152 / 2
LCM(78642,78656) = 3092832576

Least Common Multiple (LCM) of 78642 and 78656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78642 and 78656. First we will calculate the prime factors of 78642 and 78656.

Prime Factorization of 78642

Prime Factorization of 78656

Now multiplying the highest exponent prime factors to calculate the LCM of 78642 and 78656.

LCM(78642,78656) = 2⁶ × 3² × 17¹ × 257¹ × 1229¹
LCM(78642,78656) = 3092832576