What is the Least Common Multiple of 59830 and 59846?

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 59846 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 59846, than apply into the LCM equation.

GCF(59830,59846) = 2
LCM(59830,59846) = ( 59830 × 59846) / 2
LCM(59830,59846) = 3580586180 / 2
LCM(59830,59846) = 1790293090

Least Common Multiple (LCM) of 59830 and 59846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59830 and 59846. First we will calculate the prime factors of 59830 and 59846.

Prime Factorization of 59830

Prime Factorization of 59846

Now multiplying the highest exponent prime factors to calculate the LCM of 59830 and 59846.

LCM(59830,59846) = 2¹ × 5¹ × 31¹ × 193¹ × 23¹ × 1301¹
LCM(59830,59846) = 1790293090