What is the Least Common Multiple of 39914 and 39932?

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 39914 and 39932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39914 and 39932, than apply into the LCM equation.

GCF(39914,39932) = 2
LCM(39914,39932) = ( 39914 × 39932) / 2
LCM(39914,39932) = 1593845848 / 2
LCM(39914,39932) = 796922924

Least Common Multiple (LCM) of 39914 and 39932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39914 and 39932. First we will calculate the prime factors of 39914 and 39932.

Prime Factorization of 39914

Prime Factorization of 39932

Now multiplying the highest exponent prime factors to calculate the LCM of 39914 and 39932.

LCM(39914,39932) = 2² × 7¹ × 2851¹ × 67¹ × 149¹
LCM(39914,39932) = 796922924