What is the Least Common Multiple of 59810 and 59829?

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 59810 and 59829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59810 and 59829, than apply into the LCM equation.

GCF(59810,59829) = 1
LCM(59810,59829) = ( 59810 × 59829) / 1
LCM(59810,59829) = 3578372490 / 1
LCM(59810,59829) = 3578372490

Least Common Multiple (LCM) of 59810 and 59829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59810 and 59829. First we will calculate the prime factors of 59810 and 59829.

Prime Factorization of 59810

Prime Factorization of 59829

Now multiplying the highest exponent prime factors to calculate the LCM of 59810 and 59829.

LCM(59810,59829) = 2¹ × 5¹ × 5981¹ × 3¹ × 7² × 11¹ × 37¹
LCM(59810,59829) = 3578372490