What is the Least Common Multiple of 40851 and 40863?

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 40851 and 40863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40851 and 40863, than apply into the LCM equation.

GCF(40851,40863) = 3
LCM(40851,40863) = ( 40851 × 40863) / 3
LCM(40851,40863) = 1669294413 / 3
LCM(40851,40863) = 556431471

Least Common Multiple (LCM) of 40851 and 40863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40851 and 40863. First we will calculate the prime factors of 40851 and 40863.

Prime Factorization of 40851

Prime Factorization of 40863

Now multiplying the highest exponent prime factors to calculate the LCM of 40851 and 40863.

LCM(40851,40863) = 3³ × 17¹ × 89¹ × 53¹ × 257¹
LCM(40851,40863) = 556431471