What is the Least Common Multiple of 51798 and 51807?

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 51798 and 51807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51798 and 51807, than apply into the LCM equation.

GCF(51798,51807) = 3
LCM(51798,51807) = ( 51798 × 51807) / 3
LCM(51798,51807) = 2683498986 / 3
LCM(51798,51807) = 894499662

Least Common Multiple (LCM) of 51798 and 51807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51798 and 51807. First we will calculate the prime factors of 51798 and 51807.

Prime Factorization of 51798

Prime Factorization of 51807

Now multiplying the highest exponent prime factors to calculate the LCM of 51798 and 51807.

LCM(51798,51807) = 2¹ × 3¹ × 89¹ × 97¹ × 7¹ × 2467¹
LCM(51798,51807) = 894499662