What is the Least Common Multiple of 32781 and 32799?

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 32781 and 32799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32781 and 32799, than apply into the LCM equation.

GCF(32781,32799) = 3
LCM(32781,32799) = ( 32781 × 32799) / 3
LCM(32781,32799) = 1075184019 / 3
LCM(32781,32799) = 358394673

Least Common Multiple (LCM) of 32781 and 32799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32781 and 32799. First we will calculate the prime factors of 32781 and 32799.

Prime Factorization of 32781

Prime Factorization of 32799

Now multiplying the highest exponent prime factors to calculate the LCM of 32781 and 32799.

LCM(32781,32799) = 3¹ × 7² × 223¹ × 13¹ × 29²
LCM(32781,32799) = 358394673