What is the Least Common Multiple of 53138 and 53154?

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 53154 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 53154, than apply into the LCM equation.

GCF(53138,53154) = 2
LCM(53138,53154) = ( 53138 × 53154) / 2
LCM(53138,53154) = 2824497252 / 2
LCM(53138,53154) = 1412248626

Least Common Multiple (LCM) of 53138 and 53154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53138 and 53154. First we will calculate the prime factors of 53138 and 53154.

Prime Factorization of 53138

Prime Factorization of 53154

Now multiplying the highest exponent prime factors to calculate the LCM of 53138 and 53154.

LCM(53138,53154) = 2¹ × 163² × 3² × 2953¹
LCM(53138,53154) = 1412248626