What is the Least Common Multiple of 14138 and 14152?

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 14138 and 14152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14138 and 14152, than apply into the LCM equation.

GCF(14138,14152) = 2
LCM(14138,14152) = ( 14138 × 14152) / 2
LCM(14138,14152) = 200080976 / 2
LCM(14138,14152) = 100040488

Least Common Multiple (LCM) of 14138 and 14152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14138 and 14152. First we will calculate the prime factors of 14138 and 14152.

Prime Factorization of 14138

Prime Factorization of 14152

Now multiplying the highest exponent prime factors to calculate the LCM of 14138 and 14152.

LCM(14138,14152) = 2³ × 7069¹ × 29¹ × 61¹
LCM(14138,14152) = 100040488