What is the Least Common Multiple of 32821 and 32834?

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 32821 and 32834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32821 and 32834, than apply into the LCM equation.

GCF(32821,32834) = 1
LCM(32821,32834) = ( 32821 × 32834) / 1
LCM(32821,32834) = 1077644714 / 1
LCM(32821,32834) = 1077644714

Least Common Multiple (LCM) of 32821 and 32834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32821 and 32834. First we will calculate the prime factors of 32821 and 32834.

Prime Factorization of 32821

Prime Factorization of 32834

Now multiplying the highest exponent prime factors to calculate the LCM of 32821 and 32834.

LCM(32821,32834) = 23¹ × 1427¹ × 2¹ × 16417¹
LCM(32821,32834) = 1077644714