What is the Least Common Multiple of 51022 and 51038?

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 51022 and 51038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51022 and 51038, than apply into the LCM equation.

GCF(51022,51038) = 2
LCM(51022,51038) = ( 51022 × 51038) / 2
LCM(51022,51038) = 2604060836 / 2
LCM(51022,51038) = 1302030418

Least Common Multiple (LCM) of 51022 and 51038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51022 and 51038. First we will calculate the prime factors of 51022 and 51038.

Prime Factorization of 51022

Prime Factorization of 51038

Now multiplying the highest exponent prime factors to calculate the LCM of 51022 and 51038.

LCM(51022,51038) = 2¹ × 97¹ × 263¹ × 13² × 151¹
LCM(51022,51038) = 1302030418