What is the Least Common Multiple of 59830 and 59834?

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 59830 and 59834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59830 and 59834, than apply into the LCM equation.

GCF(59830,59834) = 2
LCM(59830,59834) = ( 59830 × 59834) / 2
LCM(59830,59834) = 3579868220 / 2
LCM(59830,59834) = 1789934110

Least Common Multiple (LCM) of 59830 and 59834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59830 and 59834. First we will calculate the prime factors of 59830 and 59834.

Prime Factorization of 59830

Prime Factorization of 59834

Now multiplying the highest exponent prime factors to calculate the LCM of 59830 and 59834.

LCM(59830,59834) = 2¹ × 5¹ × 31¹ × 193¹ × 29917¹
LCM(59830,59834) = 1789934110