What is the Least Common Multiple of 35568 and 35586?

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 35568 and 35586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35568 and 35586, than apply into the LCM equation.

GCF(35568,35586) = 18
LCM(35568,35586) = ( 35568 × 35586) / 18
LCM(35568,35586) = 1265722848 / 18
LCM(35568,35586) = 70317936

Least Common Multiple (LCM) of 35568 and 35586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35568 and 35586. First we will calculate the prime factors of 35568 and 35586.

Prime Factorization of 35568

Prime Factorization of 35586

Now multiplying the highest exponent prime factors to calculate the LCM of 35568 and 35586.

LCM(35568,35586) = 2⁴ × 3³ × 13¹ × 19¹ × 659¹
LCM(35568,35586) = 70317936