What is the Least Common Multiple of 39032 and 39038?

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 39032 and 39038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39032 and 39038, than apply into the LCM equation.

GCF(39032,39038) = 2
LCM(39032,39038) = ( 39032 × 39038) / 2
LCM(39032,39038) = 1523731216 / 2
LCM(39032,39038) = 761865608

Least Common Multiple (LCM) of 39032 and 39038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39032 and 39038. First we will calculate the prime factors of 39032 and 39038.

Prime Factorization of 39032

Prime Factorization of 39038

Now multiplying the highest exponent prime factors to calculate the LCM of 39032 and 39038.

LCM(39032,39038) = 2³ × 7¹ × 17¹ × 41¹ × 131¹ × 149¹
LCM(39032,39038) = 761865608