What is the Least Common Multiple of 78816 and 78836?

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 78816 and 78836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78816 and 78836, than apply into the LCM equation.

GCF(78816,78836) = 4
LCM(78816,78836) = ( 78816 × 78836) / 4
LCM(78816,78836) = 6213538176 / 4
LCM(78816,78836) = 1553384544

Least Common Multiple (LCM) of 78816 and 78836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78816 and 78836. First we will calculate the prime factors of 78816 and 78836.

Prime Factorization of 78816

Prime Factorization of 78836

Now multiplying the highest exponent prime factors to calculate the LCM of 78816 and 78836.

LCM(78816,78836) = 2⁵ × 3¹ × 821¹ × 19709¹
LCM(78816,78836) = 1553384544