What is the Least Common Multiple of 32874 and 32891?

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 32874 and 32891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32874 and 32891, than apply into the LCM equation.

GCF(32874,32891) = 1
LCM(32874,32891) = ( 32874 × 32891) / 1
LCM(32874,32891) = 1081258734 / 1
LCM(32874,32891) = 1081258734

Least Common Multiple (LCM) of 32874 and 32891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32874 and 32891. First we will calculate the prime factors of 32874 and 32891.

Prime Factorization of 32874

Prime Factorization of 32891

Now multiplying the highest exponent prime factors to calculate the LCM of 32874 and 32891.

LCM(32874,32891) = 2¹ × 3¹ × 5479¹ × 31¹ × 1061¹
LCM(32874,32891) = 1081258734