What is the Least Common Multiple of 78684 and 78696?

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 78684 and 78696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78684 and 78696, than apply into the LCM equation.

GCF(78684,78696) = 12
LCM(78684,78696) = ( 78684 × 78696) / 12
LCM(78684,78696) = 6192116064 / 12
LCM(78684,78696) = 516009672

Least Common Multiple (LCM) of 78684 and 78696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78684 and 78696. First we will calculate the prime factors of 78684 and 78696.

Prime Factorization of 78684

Prime Factorization of 78696

Now multiplying the highest exponent prime factors to calculate the LCM of 78684 and 78696.

LCM(78684,78696) = 2³ × 3² × 79¹ × 83¹ × 1093¹
LCM(78684,78696) = 516009672