What is the Least Common Multiple of 15086 and 15102?

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 15086 and 15102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15086 and 15102, than apply into the LCM equation.

GCF(15086,15102) = 2
LCM(15086,15102) = ( 15086 × 15102) / 2
LCM(15086,15102) = 227828772 / 2
LCM(15086,15102) = 113914386

Least Common Multiple (LCM) of 15086 and 15102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15086 and 15102. First we will calculate the prime factors of 15086 and 15102.

Prime Factorization of 15086

Prime Factorization of 15102

Now multiplying the highest exponent prime factors to calculate the LCM of 15086 and 15102.

LCM(15086,15102) = 2¹ × 19¹ × 397¹ × 3² × 839¹
LCM(15086,15102) = 113914386