What is the Least Common Multiple of 59796 and 59814?

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 59796 and 59814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59796 and 59814, than apply into the LCM equation.

GCF(59796,59814) = 18
LCM(59796,59814) = ( 59796 × 59814) / 18
LCM(59796,59814) = 3576637944 / 18
LCM(59796,59814) = 198702108

Least Common Multiple (LCM) of 59796 and 59814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59796 and 59814. First we will calculate the prime factors of 59796 and 59814.

Prime Factorization of 59796

Prime Factorization of 59814

Now multiplying the highest exponent prime factors to calculate the LCM of 59796 and 59814.

LCM(59796,59814) = 2² × 3² × 11¹ × 151¹ × 3323¹
LCM(59796,59814) = 198702108