What is the Least Common Multiple of 78885 and 78900?

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 78885 and 78900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78885 and 78900, than apply into the LCM equation.

GCF(78885,78900) = 15
LCM(78885,78900) = ( 78885 × 78900) / 15
LCM(78885,78900) = 6224026500 / 15
LCM(78885,78900) = 414935100

Least Common Multiple (LCM) of 78885 and 78900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78885 and 78900. First we will calculate the prime factors of 78885 and 78900.

Prime Factorization of 78885

Prime Factorization of 78900

Now multiplying the highest exponent prime factors to calculate the LCM of 78885 and 78900.

LCM(78885,78900) = 3² × 5² × 1753¹ × 2² × 263¹
LCM(78885,78900) = 414935100