What is the Least Common Multiple of 81681 and 81687?

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 81681 and 81687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81681 and 81687, than apply into the LCM equation.

GCF(81681,81687) = 3
LCM(81681,81687) = ( 81681 × 81687) / 3
LCM(81681,81687) = 6672275847 / 3
LCM(81681,81687) = 2224091949

Least Common Multiple (LCM) of 81681 and 81687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81681 and 81687. First we will calculate the prime factors of 81681 and 81687.

Prime Factorization of 81681

Prime Factorization of 81687

Now multiplying the highest exponent prime factors to calculate the LCM of 81681 and 81687.

LCM(81681,81687) = 3¹ × 19¹ × 1433¹ × 73¹ × 373¹
LCM(81681,81687) = 2224091949