What is the Least Common Multiple of 32870 and 32889?

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 32870 and 32889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32870 and 32889, than apply into the LCM equation.

GCF(32870,32889) = 19
LCM(32870,32889) = ( 32870 × 32889) / 19
LCM(32870,32889) = 1081061430 / 19
LCM(32870,32889) = 56897970

Least Common Multiple (LCM) of 32870 and 32889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32870 and 32889. First we will calculate the prime factors of 32870 and 32889.

Prime Factorization of 32870

Prime Factorization of 32889

Now multiplying the highest exponent prime factors to calculate the LCM of 32870 and 32889.

LCM(32870,32889) = 2¹ × 5¹ × 19¹ × 173¹ × 3¹ × 577¹
LCM(32870,32889) = 56897970