What is the Least Common Multiple of 44849 and 44863?

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 44849 and 44863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44849 and 44863, than apply into the LCM equation.

GCF(44849,44863) = 7
LCM(44849,44863) = ( 44849 × 44863) / 7
LCM(44849,44863) = 2012060687 / 7
LCM(44849,44863) = 287437241

Least Common Multiple (LCM) of 44849 and 44863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44849 and 44863. First we will calculate the prime factors of 44849 and 44863.

Prime Factorization of 44849

Prime Factorization of 44863

Now multiplying the highest exponent prime factors to calculate the LCM of 44849 and 44863.

LCM(44849,44863) = 7¹ × 43¹ × 149¹ × 13¹ × 17¹ × 29¹
LCM(44849,44863) = 287437241