What is the Least Common Multiple of 35568 and 35587?

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 35587 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 35587, than apply into the LCM equation.

GCF(35568,35587) = 19
LCM(35568,35587) = ( 35568 × 35587) / 19
LCM(35568,35587) = 1265758416 / 19
LCM(35568,35587) = 66618864

Least Common Multiple (LCM) of 35568 and 35587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35568 and 35587. First we will calculate the prime factors of 35568 and 35587.

Prime Factorization of 35568

Prime Factorization of 35587

Now multiplying the highest exponent prime factors to calculate the LCM of 35568 and 35587.

LCM(35568,35587) = 2⁴ × 3² × 13¹ × 19¹ × 1873¹
LCM(35568,35587) = 66618864