What is the Least Common Multiple of 51038 and 51058?

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 51038 and 51058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51038 and 51058, than apply into the LCM equation.

GCF(51038,51058) = 2
LCM(51038,51058) = ( 51038 × 51058) / 2
LCM(51038,51058) = 2605898204 / 2
LCM(51038,51058) = 1302949102

Least Common Multiple (LCM) of 51038 and 51058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51038 and 51058. First we will calculate the prime factors of 51038 and 51058.

Prime Factorization of 51038

Prime Factorization of 51058

Now multiplying the highest exponent prime factors to calculate the LCM of 51038 and 51058.

LCM(51038,51058) = 2¹ × 13² × 151¹ × 7² × 521¹
LCM(51038,51058) = 1302949102