What is the Least Common Multiple of 32690 and 32705?

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 32690 and 32705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32690 and 32705, than apply into the LCM equation.

GCF(32690,32705) = 5
LCM(32690,32705) = ( 32690 × 32705) / 5
LCM(32690,32705) = 1069126450 / 5
LCM(32690,32705) = 213825290

Least Common Multiple (LCM) of 32690 and 32705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32690 and 32705. First we will calculate the prime factors of 32690 and 32705.

Prime Factorization of 32690

Prime Factorization of 32705

Now multiplying the highest exponent prime factors to calculate the LCM of 32690 and 32705.

LCM(32690,32705) = 2¹ × 5¹ × 7¹ × 467¹ × 31¹ × 211¹
LCM(32690,32705) = 213825290