What is the Least Common Multiple of 81684 and 81704?

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 81704 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 81704, than apply into the LCM equation.

GCF(81684,81704) = 4
LCM(81684,81704) = ( 81684 × 81704) / 4
LCM(81684,81704) = 6673909536 / 4
LCM(81684,81704) = 1668477384

Least Common Multiple (LCM) of 81684 and 81704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81684 and 81704. First we will calculate the prime factors of 81684 and 81704.

Prime Factorization of 81684

Prime Factorization of 81704

Now multiplying the highest exponent prime factors to calculate the LCM of 81684 and 81704.

LCM(81684,81704) = 2³ × 3² × 2269¹ × 7¹ × 1459¹
LCM(81684,81704) = 1668477384