What is the Least Common Multiple of 51219 and 51233?

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 51219 and 51233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51219 and 51233, than apply into the LCM equation.

GCF(51219,51233) = 7
LCM(51219,51233) = ( 51219 × 51233) / 7
LCM(51219,51233) = 2624103027 / 7
LCM(51219,51233) = 374871861

Least Common Multiple (LCM) of 51219 and 51233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51219 and 51233. First we will calculate the prime factors of 51219 and 51233.

Prime Factorization of 51219

Prime Factorization of 51233

Now multiplying the highest exponent prime factors to calculate the LCM of 51219 and 51233.

LCM(51219,51233) = 3³ × 7¹ × 271¹ × 13¹ × 563¹
LCM(51219,51233) = 374871861