What is the Least Common Multiple of 78656 and 78668?

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 78656 and 78668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78656 and 78668, than apply into the LCM equation.

GCF(78656,78668) = 4
LCM(78656,78668) = ( 78656 × 78668) / 4
LCM(78656,78668) = 6187710208 / 4
LCM(78656,78668) = 1546927552

Least Common Multiple (LCM) of 78656 and 78668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78656 and 78668. First we will calculate the prime factors of 78656 and 78668.

Prime Factorization of 78656

Prime Factorization of 78668

Now multiplying the highest exponent prime factors to calculate the LCM of 78656 and 78668.

LCM(78656,78668) = 2⁶ × 1229¹ × 71¹ × 277¹
LCM(78656,78668) = 1546927552