What is the Least Common Multiple of 61586 and 61605?

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 61605 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 61605, than apply into the LCM equation.

GCF(61586,61605) = 1
LCM(61586,61605) = ( 61586 × 61605) / 1
LCM(61586,61605) = 3794005530 / 1
LCM(61586,61605) = 3794005530

Least Common Multiple (LCM) of 61586 and 61605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61586 and 61605. First we will calculate the prime factors of 61586 and 61605.

Prime Factorization of 61586

Prime Factorization of 61605

Now multiplying the highest exponent prime factors to calculate the LCM of 61586 and 61605.

LCM(61586,61605) = 2¹ × 7¹ × 53¹ × 83¹ × 3² × 5¹ × 37²
LCM(61586,61605) = 3794005530