What is the Least Common Multiple of 32892 and 32902?

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 32892 and 32902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32892 and 32902, than apply into the LCM equation.

GCF(32892,32902) = 2
LCM(32892,32902) = ( 32892 × 32902) / 2
LCM(32892,32902) = 1082212584 / 2
LCM(32892,32902) = 541106292

Least Common Multiple (LCM) of 32892 and 32902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32892 and 32902. First we will calculate the prime factors of 32892 and 32902.

Prime Factorization of 32892

Prime Factorization of 32902

Now multiplying the highest exponent prime factors to calculate the LCM of 32892 and 32902.

LCM(32892,32902) = 2² × 3¹ × 2741¹ × 16451¹
LCM(32892,32902) = 541106292