What is the Least Common Multiple of 39259 and 39277?

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 39259 and 39277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39259 and 39277, than apply into the LCM equation.

GCF(39259,39277) = 1
LCM(39259,39277) = ( 39259 × 39277) / 1
LCM(39259,39277) = 1541975743 / 1
LCM(39259,39277) = 1541975743

Least Common Multiple (LCM) of 39259 and 39277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39259 and 39277. First we will calculate the prime factors of 39259 and 39277.

Prime Factorization of 39259

Prime Factorization of 39277

Now multiplying the highest exponent prime factors to calculate the LCM of 39259 and 39277.

LCM(39259,39277) = 11¹ × 43¹ × 83¹ × 7¹ × 31¹ × 181¹
LCM(39259,39277) = 1541975743