What is the Least Common Multiple of 15142 and 15162?

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 15142 and 15162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15142 and 15162, than apply into the LCM equation.

GCF(15142,15162) = 2
LCM(15142,15162) = ( 15142 × 15162) / 2
LCM(15142,15162) = 229583004 / 2
LCM(15142,15162) = 114791502

Least Common Multiple (LCM) of 15142 and 15162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15142 and 15162. First we will calculate the prime factors of 15142 and 15162.

Prime Factorization of 15142

Prime Factorization of 15162

Now multiplying the highest exponent prime factors to calculate the LCM of 15142 and 15162.

LCM(15142,15162) = 2¹ × 67¹ × 113¹ × 3¹ × 7¹ × 19²
LCM(15142,15162) = 114791502