What is the Least Common Multiple of 22850 and 22857?

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 22850 and 22857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22850 and 22857, than apply into the LCM equation.

GCF(22850,22857) = 1
LCM(22850,22857) = ( 22850 × 22857) / 1
LCM(22850,22857) = 522282450 / 1
LCM(22850,22857) = 522282450

Least Common Multiple (LCM) of 22850 and 22857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22850 and 22857. First we will calculate the prime factors of 22850 and 22857.

Prime Factorization of 22850

Prime Factorization of 22857

Now multiplying the highest exponent prime factors to calculate the LCM of 22850 and 22857.

LCM(22850,22857) = 2¹ × 5² × 457¹ × 3¹ × 19¹ × 401¹
LCM(22850,22857) = 522282450