What is the Least Common Multiple of 39989 and 39997?

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 39989 and 39997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39989 and 39997, than apply into the LCM equation.

GCF(39989,39997) = 1
LCM(39989,39997) = ( 39989 × 39997) / 1
LCM(39989,39997) = 1599440033 / 1
LCM(39989,39997) = 1599440033

Least Common Multiple (LCM) of 39989 and 39997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39989 and 39997. First we will calculate the prime factors of 39989 and 39997.

Prime Factorization of 39989

Prime Factorization of 39997

Now multiplying the highest exponent prime factors to calculate the LCM of 39989 and 39997.

LCM(39989,39997) = 39989¹ × 23¹ × 37¹ × 47¹
LCM(39989,39997) = 1599440033