What is the Least Common Multiple of 59835 and 59853?

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 59835 and 59853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59835 and 59853, than apply into the LCM equation.

GCF(59835,59853) = 3
LCM(59835,59853) = ( 59835 × 59853) / 3
LCM(59835,59853) = 3581304255 / 3
LCM(59835,59853) = 1193768085

Least Common Multiple (LCM) of 59835 and 59853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59835 and 59853. First we will calculate the prime factors of 59835 and 59853.

Prime Factorization of 59835

Prime Factorization of 59853

Now multiplying the highest exponent prime factors to calculate the LCM of 59835 and 59853.

LCM(59835,59853) = 3¹ × 5¹ × 3989¹ × 71¹ × 281¹
LCM(59835,59853) = 1193768085