What is the Least Common Multiple of 35565 and 35574?

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 35565 and 35574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35565 and 35574, than apply into the LCM equation.

GCF(35565,35574) = 3
LCM(35565,35574) = ( 35565 × 35574) / 3
LCM(35565,35574) = 1265189310 / 3
LCM(35565,35574) = 421729770

Least Common Multiple (LCM) of 35565 and 35574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35565 and 35574. First we will calculate the prime factors of 35565 and 35574.

Prime Factorization of 35565

Prime Factorization of 35574

Now multiplying the highest exponent prime factors to calculate the LCM of 35565 and 35574.

LCM(35565,35574) = 3¹ × 5¹ × 2371¹ × 2¹ × 7² × 11²
LCM(35565,35574) = 421729770