What is the Least Common Multiple of 51028 and 51042?

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 51028 and 51042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51028 and 51042, than apply into the LCM equation.

GCF(51028,51042) = 2
LCM(51028,51042) = ( 51028 × 51042) / 2
LCM(51028,51042) = 2604571176 / 2
LCM(51028,51042) = 1302285588

Least Common Multiple (LCM) of 51028 and 51042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51028 and 51042. First we will calculate the prime factors of 51028 and 51042.

Prime Factorization of 51028

Prime Factorization of 51042

Now multiplying the highest exponent prime factors to calculate the LCM of 51028 and 51042.

LCM(51028,51042) = 2² × 12757¹ × 3¹ × 47¹ × 181¹
LCM(51028,51042) = 1302285588