What is the Least Common Multiple of 81684 and 81699?

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 81684 and 81699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81684 and 81699, than apply into the LCM equation.

GCF(81684,81699) = 3
LCM(81684,81699) = ( 81684 × 81699) / 3
LCM(81684,81699) = 6673501116 / 3
LCM(81684,81699) = 2224500372

Least Common Multiple (LCM) of 81684 and 81699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81684 and 81699. First we will calculate the prime factors of 81684 and 81699.

Prime Factorization of 81684

Prime Factorization of 81699

Now multiplying the highest exponent prime factors to calculate the LCM of 81684 and 81699.

LCM(81684,81699) = 2² × 3² × 2269¹ × 113¹ × 241¹
LCM(81684,81699) = 2224500372