What is the Least Common Multiple of 32854 and 32874?

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 32854 and 32874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32854 and 32874, than apply into the LCM equation.

GCF(32854,32874) = 2
LCM(32854,32874) = ( 32854 × 32874) / 2
LCM(32854,32874) = 1080042396 / 2
LCM(32854,32874) = 540021198

Least Common Multiple (LCM) of 32854 and 32874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32854 and 32874. First we will calculate the prime factors of 32854 and 32874.

Prime Factorization of 32854

Prime Factorization of 32874

Now multiplying the highest exponent prime factors to calculate the LCM of 32854 and 32874.

LCM(32854,32874) = 2¹ × 16427¹ × 3¹ × 5479¹
LCM(32854,32874) = 540021198