What is the Least Common Multiple of 32892 and 32898?

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 32898 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 32898, than apply into the LCM equation.

GCF(32892,32898) = 6
LCM(32892,32898) = ( 32892 × 32898) / 6
LCM(32892,32898) = 1082081016 / 6
LCM(32892,32898) = 180346836

Least Common Multiple (LCM) of 32892 and 32898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32892 and 32898. First we will calculate the prime factors of 32892 and 32898.

Prime Factorization of 32892

Prime Factorization of 32898

Now multiplying the highest exponent prime factors to calculate the LCM of 32892 and 32898.

LCM(32892,32898) = 2² × 3¹ × 2741¹ × 5483¹
LCM(32892,32898) = 180346836