What is the Least Common Multiple of 59814 and 59832?

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 59814 and 59832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59814 and 59832, than apply into the LCM equation.

GCF(59814,59832) = 18
LCM(59814,59832) = ( 59814 × 59832) / 18
LCM(59814,59832) = 3578791248 / 18
LCM(59814,59832) = 198821736

Least Common Multiple (LCM) of 59814 and 59832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59814 and 59832. First we will calculate the prime factors of 59814 and 59832.

Prime Factorization of 59814

Prime Factorization of 59832

Now multiplying the highest exponent prime factors to calculate the LCM of 59814 and 59832.

LCM(59814,59832) = 2³ × 3³ × 3323¹ × 277¹
LCM(59814,59832) = 198821736