What is the Least Common Multiple of 81789 and 81807?

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 81789 and 81807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81789 and 81807, than apply into the LCM equation.

GCF(81789,81807) = 3
LCM(81789,81807) = ( 81789 × 81807) / 3
LCM(81789,81807) = 6690912723 / 3
LCM(81789,81807) = 2230304241

Least Common Multiple (LCM) of 81789 and 81807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81789 and 81807. First we will calculate the prime factors of 81789 and 81807.

Prime Factorization of 81789

Prime Factorization of 81807

Now multiplying the highest exponent prime factors to calculate the LCM of 81789 and 81807.

LCM(81789,81807) = 3¹ × 137¹ × 199¹ × 11¹ × 37¹ × 67¹
LCM(81789,81807) = 2230304241