What is the Least Common Multiple of 15136 and 15142?

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 15136 and 15142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15136 and 15142, than apply into the LCM equation.

GCF(15136,15142) = 2
LCM(15136,15142) = ( 15136 × 15142) / 2
LCM(15136,15142) = 229189312 / 2
LCM(15136,15142) = 114594656

Least Common Multiple (LCM) of 15136 and 15142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15136 and 15142. First we will calculate the prime factors of 15136 and 15142.

Prime Factorization of 15136

Prime Factorization of 15142

Now multiplying the highest exponent prime factors to calculate the LCM of 15136 and 15142.

LCM(15136,15142) = 2⁵ × 11¹ × 43¹ × 67¹ × 113¹
LCM(15136,15142) = 114594656