What is the Least Common Multiple of 51290 and 51296?

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 51290 and 51296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51290 and 51296, than apply into the LCM equation.

GCF(51290,51296) = 2
LCM(51290,51296) = ( 51290 × 51296) / 2
LCM(51290,51296) = 2630971840 / 2
LCM(51290,51296) = 1315485920

Least Common Multiple (LCM) of 51290 and 51296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51290 and 51296. First we will calculate the prime factors of 51290 and 51296.

Prime Factorization of 51290

Prime Factorization of 51296

Now multiplying the highest exponent prime factors to calculate the LCM of 51290 and 51296.

LCM(51290,51296) = 2⁵ × 5¹ × 23¹ × 223¹ × 7¹ × 229¹
LCM(51290,51296) = 1315485920