What is the Least Common Multiple of 61586 and 61600?

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 61586 and 61600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61586 and 61600, than apply into the LCM equation.

GCF(61586,61600) = 14
LCM(61586,61600) = ( 61586 × 61600) / 14
LCM(61586,61600) = 3793697600 / 14
LCM(61586,61600) = 270978400

Least Common Multiple (LCM) of 61586 and 61600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61586 and 61600. First we will calculate the prime factors of 61586 and 61600.

Prime Factorization of 61586

Prime Factorization of 61600

Now multiplying the highest exponent prime factors to calculate the LCM of 61586 and 61600.

LCM(61586,61600) = 2⁵ × 7¹ × 53¹ × 83¹ × 5² × 11¹
LCM(61586,61600) = 270978400