What is the Least Common Multiple of 32681 and 32699?

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 32681 and 32699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32681 and 32699, than apply into the LCM equation.

GCF(32681,32699) = 1
LCM(32681,32699) = ( 32681 × 32699) / 1
LCM(32681,32699) = 1068636019 / 1
LCM(32681,32699) = 1068636019

Least Common Multiple (LCM) of 32681 and 32699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32681 and 32699. First we will calculate the prime factors of 32681 and 32699.

Prime Factorization of 32681

Prime Factorization of 32699

Now multiplying the highest exponent prime factors to calculate the LCM of 32681 and 32699.

LCM(32681,32699) = 11¹ × 2971¹ × 19¹ × 1721¹
LCM(32681,32699) = 1068636019