What is the Least Common Multiple of 22350 and 22357?

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 22350 and 22357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22350 and 22357, than apply into the LCM equation.

GCF(22350,22357) = 1
LCM(22350,22357) = ( 22350 × 22357) / 1
LCM(22350,22357) = 499678950 / 1
LCM(22350,22357) = 499678950

Least Common Multiple (LCM) of 22350 and 22357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22350 and 22357. First we will calculate the prime factors of 22350 and 22357.

Prime Factorization of 22350

Prime Factorization of 22357

Now multiplying the highest exponent prime factors to calculate the LCM of 22350 and 22357.

LCM(22350,22357) = 2¹ × 3¹ × 5² × 149¹ × 79¹ × 283¹
LCM(22350,22357) = 499678950