What is the Least Common Multiple of 32770 and 32785?

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 32770 and 32785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32770 and 32785, than apply into the LCM equation.

GCF(32770,32785) = 5
LCM(32770,32785) = ( 32770 × 32785) / 5
LCM(32770,32785) = 1074364450 / 5
LCM(32770,32785) = 214872890

Least Common Multiple (LCM) of 32770 and 32785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32770 and 32785. First we will calculate the prime factors of 32770 and 32785.

Prime Factorization of 32770

Prime Factorization of 32785

Now multiplying the highest exponent prime factors to calculate the LCM of 32770 and 32785.

LCM(32770,32785) = 2¹ × 5¹ × 29¹ × 113¹ × 79¹ × 83¹
LCM(32770,32785) = 214872890