What is the Least Common Multiple of 81639 and 81651?

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 81639 and 81651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81639 and 81651, than apply into the LCM equation.

GCF(81639,81651) = 3
LCM(81639,81651) = ( 81639 × 81651) / 3
LCM(81639,81651) = 6665905989 / 3
LCM(81639,81651) = 2221968663

Least Common Multiple (LCM) of 81639 and 81651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81639 and 81651. First we will calculate the prime factors of 81639 and 81651.

Prime Factorization of 81639

Prime Factorization of 81651

Now multiplying the highest exponent prime factors to calculate the LCM of 81639 and 81651.

LCM(81639,81651) = 3² × 47¹ × 193¹ × 17¹ × 1601¹
LCM(81639,81651) = 2221968663