What is the Least Common Multiple of 38982 and 38997?

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 38982 and 38997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38982 and 38997, than apply into the LCM equation.

GCF(38982,38997) = 3
LCM(38982,38997) = ( 38982 × 38997) / 3
LCM(38982,38997) = 1520181054 / 3
LCM(38982,38997) = 506727018

Least Common Multiple (LCM) of 38982 and 38997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38982 and 38997. First we will calculate the prime factors of 38982 and 38997.

Prime Factorization of 38982

Prime Factorization of 38997

Now multiplying the highest exponent prime factors to calculate the LCM of 38982 and 38997.

LCM(38982,38997) = 2¹ × 3² × 73¹ × 89¹ × 7¹ × 619¹
LCM(38982,38997) = 506727018