What is the Least Common Multiple of 22925 and 22938?

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 22925 and 22938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22925 and 22938, than apply into the LCM equation.

GCF(22925,22938) = 1
LCM(22925,22938) = ( 22925 × 22938) / 1
LCM(22925,22938) = 525853650 / 1
LCM(22925,22938) = 525853650

Least Common Multiple (LCM) of 22925 and 22938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22925 and 22938. First we will calculate the prime factors of 22925 and 22938.

Prime Factorization of 22925

Prime Factorization of 22938

Now multiplying the highest exponent prime factors to calculate the LCM of 22925 and 22938.

LCM(22925,22938) = 5² × 7¹ × 131¹ × 2¹ × 3¹ × 3823¹
LCM(22925,22938) = 525853650