What is the Least Common Multiple of 51274 and 51292?

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 51274 and 51292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51274 and 51292, than apply into the LCM equation.

GCF(51274,51292) = 2
LCM(51274,51292) = ( 51274 × 51292) / 2
LCM(51274,51292) = 2629946008 / 2
LCM(51274,51292) = 1314973004

Least Common Multiple (LCM) of 51274 and 51292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51274 and 51292. First we will calculate the prime factors of 51274 and 51292.

Prime Factorization of 51274

Prime Factorization of 51292

Now multiplying the highest exponent prime factors to calculate the LCM of 51274 and 51292.

LCM(51274,51292) = 2² × 31¹ × 827¹ × 12823¹
LCM(51274,51292) = 1314973004