What is the Least Common Multiple of 58345 and 58352?

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 58345 and 58352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58345 and 58352, than apply into the LCM equation.

GCF(58345,58352) = 7
LCM(58345,58352) = ( 58345 × 58352) / 7
LCM(58345,58352) = 3404547440 / 7
LCM(58345,58352) = 486363920

Least Common Multiple (LCM) of 58345 and 58352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58345 and 58352. First we will calculate the prime factors of 58345 and 58352.

Prime Factorization of 58345

Prime Factorization of 58352

Now multiplying the highest exponent prime factors to calculate the LCM of 58345 and 58352.

LCM(58345,58352) = 5¹ × 7¹ × 1667¹ × 2⁴ × 521¹
LCM(58345,58352) = 486363920