What is the Least Common Multiple of 32834 and 32851?

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 32834 and 32851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32834 and 32851, than apply into the LCM equation.

GCF(32834,32851) = 1
LCM(32834,32851) = ( 32834 × 32851) / 1
LCM(32834,32851) = 1078629734 / 1
LCM(32834,32851) = 1078629734

Least Common Multiple (LCM) of 32834 and 32851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32834 and 32851. First we will calculate the prime factors of 32834 and 32851.

Prime Factorization of 32834

Prime Factorization of 32851

Now multiplying the highest exponent prime factors to calculate the LCM of 32834 and 32851.

LCM(32834,32851) = 2¹ × 16417¹ × 7¹ × 13¹ × 19²
LCM(32834,32851) = 1078629734