What is the Least Common Multiple of 35574 and 35590?

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 35574 and 35590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35574 and 35590, than apply into the LCM equation.

GCF(35574,35590) = 2
LCM(35574,35590) = ( 35574 × 35590) / 2
LCM(35574,35590) = 1266078660 / 2
LCM(35574,35590) = 633039330

Least Common Multiple (LCM) of 35574 and 35590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35574 and 35590. First we will calculate the prime factors of 35574 and 35590.

Prime Factorization of 35574

Prime Factorization of 35590

Now multiplying the highest exponent prime factors to calculate the LCM of 35574 and 35590.

LCM(35574,35590) = 2¹ × 3¹ × 7² × 11² × 5¹ × 3559¹
LCM(35574,35590) = 633039330