What is the Least Common Multiple of 58328 and 58342?

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 58328 and 58342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58328 and 58342, than apply into the LCM equation.

GCF(58328,58342) = 2
LCM(58328,58342) = ( 58328 × 58342) / 2
LCM(58328,58342) = 3402972176 / 2
LCM(58328,58342) = 1701486088

Least Common Multiple (LCM) of 58328 and 58342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58328 and 58342. First we will calculate the prime factors of 58328 and 58342.

Prime Factorization of 58328

Prime Factorization of 58342

Now multiplying the highest exponent prime factors to calculate the LCM of 58328 and 58342.

LCM(58328,58342) = 2³ × 23¹ × 317¹ × 31¹ × 941¹
LCM(58328,58342) = 1701486088