What is the Least Common Multiple of 19225 and 19237?

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 19225 and 19237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19225 and 19237, than apply into the LCM equation.

GCF(19225,19237) = 1
LCM(19225,19237) = ( 19225 × 19237) / 1
LCM(19225,19237) = 369831325 / 1
LCM(19225,19237) = 369831325

Least Common Multiple (LCM) of 19225 and 19237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19225 and 19237. First we will calculate the prime factors of 19225 and 19237.

Prime Factorization of 19225

Prime Factorization of 19237

Now multiplying the highest exponent prime factors to calculate the LCM of 19225 and 19237.

LCM(19225,19237) = 5² × 769¹ × 19237¹
LCM(19225,19237) = 369831325