What is the Least Common Multiple of 58814 and 58834?

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 58814 and 58834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58814 and 58834, than apply into the LCM equation.

GCF(58814,58834) = 2
LCM(58814,58834) = ( 58814 × 58834) / 2
LCM(58814,58834) = 3460262876 / 2
LCM(58814,58834) = 1730131438

Least Common Multiple (LCM) of 58814 and 58834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58814 and 58834. First we will calculate the prime factors of 58814 and 58834.

Prime Factorization of 58814

Prime Factorization of 58834

Now multiplying the highest exponent prime factors to calculate the LCM of 58814 and 58834.

LCM(58814,58834) = 2¹ × 7¹ × 4201¹ × 23¹ × 1279¹
LCM(58814,58834) = 1730131438