What is the Least Common Multiple of 38991 and 39009?

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 38991 and 39009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38991 and 39009, than apply into the LCM equation.

GCF(38991,39009) = 3
LCM(38991,39009) = ( 38991 × 39009) / 3
LCM(38991,39009) = 1520999919 / 3
LCM(38991,39009) = 506999973

Least Common Multiple (LCM) of 38991 and 39009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38991 and 39009. First we will calculate the prime factors of 38991 and 39009.

Prime Factorization of 38991

Prime Factorization of 39009

Now multiplying the highest exponent prime factors to calculate the LCM of 38991 and 39009.

LCM(38991,39009) = 3¹ × 41¹ × 317¹ × 13003¹
LCM(38991,39009) = 506999973