What is the Least Common Multiple of 15105 and 15119?

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 15105 and 15119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15105 and 15119, than apply into the LCM equation.

GCF(15105,15119) = 1
LCM(15105,15119) = ( 15105 × 15119) / 1
LCM(15105,15119) = 228372495 / 1
LCM(15105,15119) = 228372495

Least Common Multiple (LCM) of 15105 and 15119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15105 and 15119. First we will calculate the prime factors of 15105 and 15119.

Prime Factorization of 15105

Prime Factorization of 15119

Now multiplying the highest exponent prime factors to calculate the LCM of 15105 and 15119.

LCM(15105,15119) = 3¹ × 5¹ × 19¹ × 53¹ × 13¹ × 1163¹
LCM(15105,15119) = 228372495