What is the Least Common Multiple of 70857 and 70863?

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 70857 and 70863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70857 and 70863, than apply into the LCM equation.

GCF(70857,70863) = 3
LCM(70857,70863) = ( 70857 × 70863) / 3
LCM(70857,70863) = 5021139591 / 3
LCM(70857,70863) = 1673713197

Least Common Multiple (LCM) of 70857 and 70863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70857 and 70863. First we will calculate the prime factors of 70857 and 70863.

Prime Factorization of 70857

Prime Factorization of 70863

Now multiplying the highest exponent prime factors to calculate the LCM of 70857 and 70863.

LCM(70857,70863) = 3² × 7873¹ × 13¹ × 23¹ × 79¹
LCM(70857,70863) = 1673713197