What is the Least Common Multiple of 23830 and 23834?

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 23830 and 23834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23830 and 23834, than apply into the LCM equation.

GCF(23830,23834) = 2
LCM(23830,23834) = ( 23830 × 23834) / 2
LCM(23830,23834) = 567964220 / 2
LCM(23830,23834) = 283982110

Least Common Multiple (LCM) of 23830 and 23834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23830 and 23834. First we will calculate the prime factors of 23830 and 23834.

Prime Factorization of 23830

Prime Factorization of 23834

Now multiplying the highest exponent prime factors to calculate the LCM of 23830 and 23834.

LCM(23830,23834) = 2¹ × 5¹ × 2383¹ × 17¹ × 701¹
LCM(23830,23834) = 283982110