What is the Least Common Multiple of 33590 and 33610?

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 33590 and 33610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33590 and 33610, than apply into the LCM equation.

GCF(33590,33610) = 10
LCM(33590,33610) = ( 33590 × 33610) / 10
LCM(33590,33610) = 1128959900 / 10
LCM(33590,33610) = 112895990

Least Common Multiple (LCM) of 33590 and 33610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33590 and 33610. First we will calculate the prime factors of 33590 and 33610.

Prime Factorization of 33590

Prime Factorization of 33610

Now multiplying the highest exponent prime factors to calculate the LCM of 33590 and 33610.

LCM(33590,33610) = 2¹ × 5¹ × 3359¹ × 3361¹
LCM(33590,33610) = 112895990