What is the Least Common Multiple of 15213 and 15224?

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 15213 and 15224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15213 and 15224, than apply into the LCM equation.

GCF(15213,15224) = 11
LCM(15213,15224) = ( 15213 × 15224) / 11
LCM(15213,15224) = 231602712 / 11
LCM(15213,15224) = 21054792

Least Common Multiple (LCM) of 15213 and 15224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15213 and 15224. First we will calculate the prime factors of 15213 and 15224.

Prime Factorization of 15213

Prime Factorization of 15224

Now multiplying the highest exponent prime factors to calculate the LCM of 15213 and 15224.

LCM(15213,15224) = 3¹ × 11¹ × 461¹ × 2³ × 173¹
LCM(15213,15224) = 21054792