What is the Least Common Multiple of 77688 and 77700?

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 77688 and 77700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77688 and 77700, than apply into the LCM equation.

GCF(77688,77700) = 12
LCM(77688,77700) = ( 77688 × 77700) / 12
LCM(77688,77700) = 6036357600 / 12
LCM(77688,77700) = 503029800

Least Common Multiple (LCM) of 77688 and 77700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77688 and 77700. First we will calculate the prime factors of 77688 and 77700.

Prime Factorization of 77688

Prime Factorization of 77700

Now multiplying the highest exponent prime factors to calculate the LCM of 77688 and 77700.

LCM(77688,77700) = 2³ × 3² × 13¹ × 83¹ × 5² × 7¹ × 37¹
LCM(77688,77700) = 503029800