What is the Least Common Multiple of 51228 and 51238?

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 51228 and 51238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51228 and 51238, than apply into the LCM equation.

GCF(51228,51238) = 2
LCM(51228,51238) = ( 51228 × 51238) / 2
LCM(51228,51238) = 2624820264 / 2
LCM(51228,51238) = 1312410132

Least Common Multiple (LCM) of 51228 and 51238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51228 and 51238. First we will calculate the prime factors of 51228 and 51238.

Prime Factorization of 51228

Prime Factorization of 51238

Now multiplying the highest exponent prime factors to calculate the LCM of 51228 and 51238.

LCM(51228,51238) = 2² × 3² × 1423¹ × 11¹ × 17¹ × 137¹
LCM(51228,51238) = 1312410132