What is the Least Common Multiple of 39814 and 39834?

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 39814 and 39834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39814 and 39834, than apply into the LCM equation.

GCF(39814,39834) = 2
LCM(39814,39834) = ( 39814 × 39834) / 2
LCM(39814,39834) = 1585950876 / 2
LCM(39814,39834) = 792975438

Least Common Multiple (LCM) of 39814 and 39834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39814 and 39834. First we will calculate the prime factors of 39814 and 39834.

Prime Factorization of 39814

Prime Factorization of 39834

Now multiplying the highest exponent prime factors to calculate the LCM of 39814 and 39834.

LCM(39814,39834) = 2¹ × 17¹ × 1171¹ × 3² × 2213¹
LCM(39814,39834) = 792975438