What is the Least Common Multiple of 38909 and 38929?

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 38909 and 38929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38909 and 38929, than apply into the LCM equation.

GCF(38909,38929) = 1
LCM(38909,38929) = ( 38909 × 38929) / 1
LCM(38909,38929) = 1514688461 / 1
LCM(38909,38929) = 1514688461

Least Common Multiple (LCM) of 38909 and 38929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38909 and 38929. First we will calculate the prime factors of 38909 and 38929.

Prime Factorization of 38909

Prime Factorization of 38929

Now multiplying the highest exponent prime factors to calculate the LCM of 38909 and 38929.

LCM(38909,38929) = 13¹ × 41¹ × 73¹ × 11¹ × 3539¹
LCM(38909,38929) = 1514688461