What is the Least Common Multiple of 58964 and 58982?

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 58964 and 58982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58964 and 58982, than apply into the LCM equation.

GCF(58964,58982) = 2
LCM(58964,58982) = ( 58964 × 58982) / 2
LCM(58964,58982) = 3477814648 / 2
LCM(58964,58982) = 1738907324

Least Common Multiple (LCM) of 58964 and 58982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58964 and 58982. First we will calculate the prime factors of 58964 and 58982.

Prime Factorization of 58964

Prime Factorization of 58982

Now multiplying the highest exponent prime factors to calculate the LCM of 58964 and 58982.

LCM(58964,58982) = 2² × 14741¹ × 7¹ × 11¹ × 383¹
LCM(58964,58982) = 1738907324