What is the Least Common Multiple of 15107 and 15112?

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 15107 and 15112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15107 and 15112, than apply into the LCM equation.

GCF(15107,15112) = 1
LCM(15107,15112) = ( 15107 × 15112) / 1
LCM(15107,15112) = 228296984 / 1
LCM(15107,15112) = 228296984

Least Common Multiple (LCM) of 15107 and 15112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15107 and 15112. First we will calculate the prime factors of 15107 and 15112.

Prime Factorization of 15107

Prime Factorization of 15112

Now multiplying the highest exponent prime factors to calculate the LCM of 15107 and 15112.

LCM(15107,15112) = 15107¹ × 2³ × 1889¹
LCM(15107,15112) = 228296984