What is the Least Common Multiple of 35574 and 35583?

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 35583 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 35583, than apply into the LCM equation.

GCF(35574,35583) = 3
LCM(35574,35583) = ( 35574 × 35583) / 3
LCM(35574,35583) = 1265829642 / 3
LCM(35574,35583) = 421943214

Least Common Multiple (LCM) of 35574 and 35583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35574 and 35583. First we will calculate the prime factors of 35574 and 35583.

Prime Factorization of 35574

Prime Factorization of 35583

Now multiplying the highest exponent prime factors to calculate the LCM of 35574 and 35583.

LCM(35574,35583) = 2¹ × 3¹ × 7² × 11² × 29¹ × 409¹
LCM(35574,35583) = 421943214