What is the Least Common Multiple of 81756 and 81775?

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 81756 and 81775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81756 and 81775, than apply into the LCM equation.

GCF(81756,81775) = 1
LCM(81756,81775) = ( 81756 × 81775) / 1
LCM(81756,81775) = 6685596900 / 1
LCM(81756,81775) = 6685596900

Least Common Multiple (LCM) of 81756 and 81775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81756 and 81775. First we will calculate the prime factors of 81756 and 81775.

Prime Factorization of 81756

Prime Factorization of 81775

Now multiplying the highest exponent prime factors to calculate the LCM of 81756 and 81775.

LCM(81756,81775) = 2² × 3³ × 757¹ × 5² × 3271¹
LCM(81756,81775) = 6685596900