What is the Least Common Multiple of 10138 and 10148?

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 10138 and 10148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10138 and 10148, than apply into the LCM equation.

GCF(10138,10148) = 2
LCM(10138,10148) = ( 10138 × 10148) / 2
LCM(10138,10148) = 102880424 / 2
LCM(10138,10148) = 51440212

Least Common Multiple (LCM) of 10138 and 10148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10138 and 10148. First we will calculate the prime factors of 10138 and 10148.

Prime Factorization of 10138

Prime Factorization of 10148

Now multiplying the highest exponent prime factors to calculate the LCM of 10138 and 10148.

LCM(10138,10148) = 2² × 37¹ × 137¹ × 43¹ × 59¹
LCM(10138,10148) = 51440212