What is the Least Common Multiple of 78656 and 78670?

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 78670 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 78670, than apply into the LCM equation.

GCF(78656,78670) = 2
LCM(78656,78670) = ( 78656 × 78670) / 2
LCM(78656,78670) = 6187867520 / 2
LCM(78656,78670) = 3093933760

Least Common Multiple (LCM) of 78656 and 78670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78656 and 78670. First we will calculate the prime factors of 78656 and 78670.

Prime Factorization of 78656

Prime Factorization of 78670

Now multiplying the highest exponent prime factors to calculate the LCM of 78656 and 78670.

LCM(78656,78670) = 2⁶ × 1229¹ × 5¹ × 7867¹
LCM(78656,78670) = 3093933760