What is the Least Common Multiple of 78552 and 78561?

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 78552 and 78561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78552 and 78561, than apply into the LCM equation.

GCF(78552,78561) = 9
LCM(78552,78561) = ( 78552 × 78561) / 9
LCM(78552,78561) = 6171123672 / 9
LCM(78552,78561) = 685680408

Least Common Multiple (LCM) of 78552 and 78561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78552 and 78561. First we will calculate the prime factors of 78552 and 78561.

Prime Factorization of 78552

Prime Factorization of 78561

Now multiplying the highest exponent prime factors to calculate the LCM of 78552 and 78561.

LCM(78552,78561) = 2³ × 3² × 1091¹ × 7¹ × 29¹ × 43¹
LCM(78552,78561) = 685680408