What is the Least Common Multiple of 58352 and 58368?

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 58368 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 58368, than apply into the LCM equation.

GCF(58352,58368) = 16
LCM(58352,58368) = ( 58352 × 58368) / 16
LCM(58352,58368) = 3405889536 / 16
LCM(58352,58368) = 212868096

Least Common Multiple (LCM) of 58352 and 58368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58352 and 58368. First we will calculate the prime factors of 58352 and 58368.

Prime Factorization of 58352

Prime Factorization of 58368

Now multiplying the highest exponent prime factors to calculate the LCM of 58352 and 58368.

LCM(58352,58368) = 2¹⁰ × 7¹ × 521¹ × 3¹ × 19¹
LCM(58352,58368) = 212868096