What is the Least Common Multiple of 15102 and 15109?

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 15102 and 15109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15102 and 15109, than apply into the LCM equation.

GCF(15102,15109) = 1
LCM(15102,15109) = ( 15102 × 15109) / 1
LCM(15102,15109) = 228176118 / 1
LCM(15102,15109) = 228176118

Least Common Multiple (LCM) of 15102 and 15109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15102 and 15109. First we will calculate the prime factors of 15102 and 15109.

Prime Factorization of 15102

Prime Factorization of 15109

Now multiplying the highest exponent prime factors to calculate the LCM of 15102 and 15109.

LCM(15102,15109) = 2¹ × 3² × 839¹ × 29¹ × 521¹
LCM(15102,15109) = 228176118