What is the Least Common Multiple of 59805 and 59811?

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 59805 and 59811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59805 and 59811, than apply into the LCM equation.

GCF(59805,59811) = 3
LCM(59805,59811) = ( 59805 × 59811) / 3
LCM(59805,59811) = 3576996855 / 3
LCM(59805,59811) = 1192332285

Least Common Multiple (LCM) of 59805 and 59811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59805 and 59811. First we will calculate the prime factors of 59805 and 59811.

Prime Factorization of 59805

Prime Factorization of 59811

Now multiplying the highest exponent prime factors to calculate the LCM of 59805 and 59811.

LCM(59805,59811) = 3³ × 5¹ × 443¹ × 19937¹
LCM(59805,59811) = 1192332285