What is the Least Common Multiple of 52842 and 52857?

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 52842 and 52857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52842 and 52857, than apply into the LCM equation.

GCF(52842,52857) = 3
LCM(52842,52857) = ( 52842 × 52857) / 3
LCM(52842,52857) = 2793069594 / 3
LCM(52842,52857) = 931023198

Least Common Multiple (LCM) of 52842 and 52857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52842 and 52857. First we will calculate the prime factors of 52842 and 52857.

Prime Factorization of 52842

Prime Factorization of 52857

Now multiplying the highest exponent prime factors to calculate the LCM of 52842 and 52857.

LCM(52842,52857) = 2¹ × 3² × 8807¹ × 7¹ × 839¹
LCM(52842,52857) = 931023198