What is the Least Common Multiple of 39814 and 39832?

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 39832 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 39832, than apply into the LCM equation.

GCF(39814,39832) = 2
LCM(39814,39832) = ( 39814 × 39832) / 2
LCM(39814,39832) = 1585871248 / 2
LCM(39814,39832) = 792935624

Least Common Multiple (LCM) of 39814 and 39832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39814 and 39832. First we will calculate the prime factors of 39814 and 39832.

Prime Factorization of 39814

Prime Factorization of 39832

Now multiplying the highest exponent prime factors to calculate the LCM of 39814 and 39832.

LCM(39814,39832) = 2³ × 17¹ × 1171¹ × 13¹ × 383¹
LCM(39814,39832) = 792935624