What is the Least Common Multiple of 59382 and 59392?

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 59382 and 59392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59382 and 59392, than apply into the LCM equation.

GCF(59382,59392) = 2
LCM(59382,59392) = ( 59382 × 59392) / 2
LCM(59382,59392) = 3526815744 / 2
LCM(59382,59392) = 1763407872

Least Common Multiple (LCM) of 59382 and 59392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59382 and 59392. First we will calculate the prime factors of 59382 and 59392.

Prime Factorization of 59382

Prime Factorization of 59392

Now multiplying the highest exponent prime factors to calculate the LCM of 59382 and 59392.

LCM(59382,59392) = 2¹¹ × 3² × 3299¹ × 29¹
LCM(59382,59392) = 1763407872