What is the Least Common Multiple of 53138 and 53146?

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 53138 and 53146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53138 and 53146, than apply into the LCM equation.

GCF(53138,53146) = 2
LCM(53138,53146) = ( 53138 × 53146) / 2
LCM(53138,53146) = 2824072148 / 2
LCM(53138,53146) = 1412036074

Least Common Multiple (LCM) of 53138 and 53146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53138 and 53146. First we will calculate the prime factors of 53138 and 53146.

Prime Factorization of 53138

Prime Factorization of 53146

Now multiplying the highest exponent prime factors to calculate the LCM of 53138 and 53146.

LCM(53138,53146) = 2¹ × 163² × 26573¹
LCM(53138,53146) = 1412036074