What is the Least Common Multiple of 78851 and 78857?

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 78851 and 78857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78851 and 78857, than apply into the LCM equation.

GCF(78851,78857) = 1
LCM(78851,78857) = ( 78851 × 78857) / 1
LCM(78851,78857) = 6217953307 / 1
LCM(78851,78857) = 6217953307

Least Common Multiple (LCM) of 78851 and 78857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78851 and 78857. First we will calculate the prime factors of 78851 and 78857.

Prime Factorization of 78851

Prime Factorization of 78857

Now multiplying the highest exponent prime factors to calculate the LCM of 78851 and 78857.

LCM(78851,78857) = 29¹ × 2719¹ × 78857¹
LCM(78851,78857) = 6217953307