What is the Least Common Multiple of 66849 and 66863?

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 66849 and 66863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66849 and 66863, than apply into the LCM equation.

GCF(66849,66863) = 1
LCM(66849,66863) = ( 66849 × 66863) / 1
LCM(66849,66863) = 4469724687 / 1
LCM(66849,66863) = 4469724687

Least Common Multiple (LCM) of 66849 and 66863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66849 and 66863. First we will calculate the prime factors of 66849 and 66863.

Prime Factorization of 66849

Prime Factorization of 66863

Now multiplying the highest exponent prime factors to calculate the LCM of 66849 and 66863.

LCM(66849,66863) = 3¹ × 22283¹ × 66863¹
LCM(66849,66863) = 4469724687