What is the Least Common Multiple of 32570 and 32590?

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 32570 and 32590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32570 and 32590, than apply into the LCM equation.

GCF(32570,32590) = 10
LCM(32570,32590) = ( 32570 × 32590) / 10
LCM(32570,32590) = 1061456300 / 10
LCM(32570,32590) = 106145630

Least Common Multiple (LCM) of 32570 and 32590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32570 and 32590. First we will calculate the prime factors of 32570 and 32590.

Prime Factorization of 32570

Prime Factorization of 32590

Now multiplying the highest exponent prime factors to calculate the LCM of 32570 and 32590.

LCM(32570,32590) = 2¹ × 5¹ × 3257¹ × 3259¹
LCM(32570,32590) = 106145630