What is the Least Common Multiple of 15106 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 15106 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 15106 and 15112, than apply into the LCM equation.

GCF(15106,15112) = 2
LCM(15106,15112) = ( 15106 × 15112) / 2
LCM(15106,15112) = 228281872 / 2
LCM(15106,15112) = 114140936

Least Common Multiple (LCM) of 15106 and 15112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15106 and 15112. First we will calculate the prime factors of 15106 and 15112.

Prime Factorization of 15106

Prime Factorization of 15112

Now multiplying the highest exponent prime factors to calculate the LCM of 15106 and 15112.

LCM(15106,15112) = 2³ × 7¹ × 13¹ × 83¹ × 1889¹
LCM(15106,15112) = 114140936