What is the Least Common Multiple of 32785 and 32795?

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 32785 and 32795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32785 and 32795, than apply into the LCM equation.

GCF(32785,32795) = 5
LCM(32785,32795) = ( 32785 × 32795) / 5
LCM(32785,32795) = 1075184075 / 5
LCM(32785,32795) = 215036815

Least Common Multiple (LCM) of 32785 and 32795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32785 and 32795. First we will calculate the prime factors of 32785 and 32795.

Prime Factorization of 32785

Prime Factorization of 32795

Now multiplying the highest exponent prime factors to calculate the LCM of 32785 and 32795.

LCM(32785,32795) = 5¹ × 79¹ × 83¹ × 7¹ × 937¹
LCM(32785,32795) = 215036815