What is the Least Common Multiple of 59576 and 59582?

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 59576 and 59582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59576 and 59582, than apply into the LCM equation.

GCF(59576,59582) = 2
LCM(59576,59582) = ( 59576 × 59582) / 2
LCM(59576,59582) = 3549657232 / 2
LCM(59576,59582) = 1774828616

Least Common Multiple (LCM) of 59576 and 59582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59576 and 59582. First we will calculate the prime factors of 59576 and 59582.

Prime Factorization of 59576

Prime Factorization of 59582

Now multiplying the highest exponent prime factors to calculate the LCM of 59576 and 59582.

LCM(59576,59582) = 2³ × 11¹ × 677¹ × 31³
LCM(59576,59582) = 1774828616