What is the Least Common Multiple of 51272 and 51289?

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 51272 and 51289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51272 and 51289, than apply into the LCM equation.

GCF(51272,51289) = 17
LCM(51272,51289) = ( 51272 × 51289) / 17
LCM(51272,51289) = 2629689608 / 17
LCM(51272,51289) = 154687624

Least Common Multiple (LCM) of 51272 and 51289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51272 and 51289. First we will calculate the prime factors of 51272 and 51289.

Prime Factorization of 51272

Prime Factorization of 51289

Now multiplying the highest exponent prime factors to calculate the LCM of 51272 and 51289.

LCM(51272,51289) = 2³ × 13¹ × 17¹ × 29¹ × 7¹ × 431¹
LCM(51272,51289) = 154687624