What is the Least Common Multiple of 32846 and 32863?

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 32846 and 32863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32846 and 32863, than apply into the LCM equation.

GCF(32846,32863) = 1
LCM(32846,32863) = ( 32846 × 32863) / 1
LCM(32846,32863) = 1079418098 / 1
LCM(32846,32863) = 1079418098

Least Common Multiple (LCM) of 32846 and 32863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32846 and 32863. First we will calculate the prime factors of 32846 and 32863.

Prime Factorization of 32846

Prime Factorization of 32863

Now multiplying the highest exponent prime factors to calculate the LCM of 32846 and 32863.

LCM(32846,32863) = 2¹ × 11¹ × 1493¹ × 59¹ × 557¹
LCM(32846,32863) = 1079418098