What is the Least Common Multiple of 58786 and 58798?

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 58786 and 58798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58786 and 58798, than apply into the LCM equation.

GCF(58786,58798) = 2
LCM(58786,58798) = ( 58786 × 58798) / 2
LCM(58786,58798) = 3456499228 / 2
LCM(58786,58798) = 1728249614

Least Common Multiple (LCM) of 58786 and 58798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58786 and 58798. First we will calculate the prime factors of 58786 and 58798.

Prime Factorization of 58786

Prime Factorization of 58798

Now multiplying the highest exponent prime factors to calculate the LCM of 58786 and 58798.

LCM(58786,58798) = 2¹ × 7¹ × 13¹ × 17¹ × 19¹ × 29399¹
LCM(58786,58798) = 1728249614