What is the Least Common Multiple of 32705 and 32718?

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 32705 and 32718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32705 and 32718, than apply into the LCM equation.

GCF(32705,32718) = 1
LCM(32705,32718) = ( 32705 × 32718) / 1
LCM(32705,32718) = 1070042190 / 1
LCM(32705,32718) = 1070042190

Least Common Multiple (LCM) of 32705 and 32718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32705 and 32718. First we will calculate the prime factors of 32705 and 32718.

Prime Factorization of 32705

Prime Factorization of 32718

Now multiplying the highest exponent prime factors to calculate the LCM of 32705 and 32718.

LCM(32705,32718) = 5¹ × 31¹ × 211¹ × 2¹ × 3¹ × 7¹ × 19¹ × 41¹
LCM(32705,32718) = 1070042190