What is the Least Common Multiple of 39909 and 39927?

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 39909 and 39927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39909 and 39927, than apply into the LCM equation.

GCF(39909,39927) = 3
LCM(39909,39927) = ( 39909 × 39927) / 3
LCM(39909,39927) = 1593446643 / 3
LCM(39909,39927) = 531148881

Least Common Multiple (LCM) of 39909 and 39927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39909 and 39927. First we will calculate the prime factors of 39909 and 39927.

Prime Factorization of 39909

Prime Factorization of 39927

Now multiplying the highest exponent prime factors to calculate the LCM of 39909 and 39927.

LCM(39909,39927) = 3¹ × 53¹ × 251¹ × 13309¹
LCM(39909,39927) = 531148881