What is the Least Common Multiple of 47802 and 47807?

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 47802 and 47807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47802 and 47807, than apply into the LCM equation.

GCF(47802,47807) = 1
LCM(47802,47807) = ( 47802 × 47807) / 1
LCM(47802,47807) = 2285270214 / 1
LCM(47802,47807) = 2285270214

Least Common Multiple (LCM) of 47802 and 47807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47802 and 47807. First we will calculate the prime factors of 47802 and 47807.

Prime Factorization of 47802

Prime Factorization of 47807

Now multiplying the highest exponent prime factors to calculate the LCM of 47802 and 47807.

LCM(47802,47807) = 2¹ × 3¹ × 31¹ × 257¹ × 47807¹
LCM(47802,47807) = 2285270214