What is the Least Common Multiple of 58352 and 58360?

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 58352 and 58360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58352 and 58360, than apply into the LCM equation.

GCF(58352,58360) = 8
LCM(58352,58360) = ( 58352 × 58360) / 8
LCM(58352,58360) = 3405422720 / 8
LCM(58352,58360) = 425677840

Least Common Multiple (LCM) of 58352 and 58360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58352 and 58360. First we will calculate the prime factors of 58352 and 58360.

Prime Factorization of 58352

Prime Factorization of 58360

Now multiplying the highest exponent prime factors to calculate the LCM of 58352 and 58360.

LCM(58352,58360) = 2⁴ × 7¹ × 521¹ × 5¹ × 1459¹
LCM(58352,58360) = 425677840