What is the Least Common Multiple of 15214 and 15225?

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 15214 and 15225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15214 and 15225, than apply into the LCM equation.

GCF(15214,15225) = 1
LCM(15214,15225) = ( 15214 × 15225) / 1
LCM(15214,15225) = 231633150 / 1
LCM(15214,15225) = 231633150

Least Common Multiple (LCM) of 15214 and 15225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15214 and 15225. First we will calculate the prime factors of 15214 and 15225.

Prime Factorization of 15214

Prime Factorization of 15225

Now multiplying the highest exponent prime factors to calculate the LCM of 15214 and 15225.

LCM(15214,15225) = 2¹ × 7607¹ × 3¹ × 5² × 7¹ × 29¹
LCM(15214,15225) = 231633150