What is the Least Common Multiple of 39355 and 39371?

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 39355 and 39371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39355 and 39371, than apply into the LCM equation.

GCF(39355,39371) = 1
LCM(39355,39371) = ( 39355 × 39371) / 1
LCM(39355,39371) = 1549445705 / 1
LCM(39355,39371) = 1549445705

Least Common Multiple (LCM) of 39355 and 39371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39355 and 39371. First we will calculate the prime factors of 39355 and 39371.

Prime Factorization of 39355

Prime Factorization of 39371

Now multiplying the highest exponent prime factors to calculate the LCM of 39355 and 39371.

LCM(39355,39371) = 5¹ × 17¹ × 463¹ × 39371¹
LCM(39355,39371) = 1549445705