What is the Least Common Multiple of 64857 and 64873?

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 64857 and 64873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64857 and 64873, than apply into the LCM equation.

GCF(64857,64873) = 1
LCM(64857,64873) = ( 64857 × 64873) / 1
LCM(64857,64873) = 4207468161 / 1
LCM(64857,64873) = 4207468161

Least Common Multiple (LCM) of 64857 and 64873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64857 and 64873. First we will calculate the prime factors of 64857 and 64873.

Prime Factorization of 64857

Prime Factorization of 64873

Now multiplying the highest exponent prime factors to calculate the LCM of 64857 and 64873.

LCM(64857,64873) = 3¹ × 13¹ × 1663¹ × 29¹ × 2237¹
LCM(64857,64873) = 4207468161