What is the Least Common Multiple of 58758 and 58774?

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 58758 and 58774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58758 and 58774, than apply into the LCM equation.

GCF(58758,58774) = 2
LCM(58758,58774) = ( 58758 × 58774) / 2
LCM(58758,58774) = 3453442692 / 2
LCM(58758,58774) = 1726721346

Least Common Multiple (LCM) of 58758 and 58774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58758 and 58774. First we will calculate the prime factors of 58758 and 58774.

Prime Factorization of 58758

Prime Factorization of 58774

Now multiplying the highest exponent prime factors to calculate the LCM of 58758 and 58774.

LCM(58758,58774) = 2¹ × 3¹ × 7¹ × 1399¹ × 29387¹
LCM(58758,58774) = 1726721346