What is the Least Common Multiple of 78324 and 78336?

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 78324 and 78336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78324 and 78336, than apply into the LCM equation.

GCF(78324,78336) = 12
LCM(78324,78336) = ( 78324 × 78336) / 12
LCM(78324,78336) = 6135588864 / 12
LCM(78324,78336) = 511299072

Least Common Multiple (LCM) of 78324 and 78336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78324 and 78336. First we will calculate the prime factors of 78324 and 78336.

Prime Factorization of 78324

Prime Factorization of 78336

Now multiplying the highest exponent prime factors to calculate the LCM of 78324 and 78336.

LCM(78324,78336) = 2⁹ × 3² × 61¹ × 107¹ × 17¹
LCM(78324,78336) = 511299072