What is the Least Common Multiple of 39986 and 39998?

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 39986 and 39998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39986 and 39998, than apply into the LCM equation.

GCF(39986,39998) = 2
LCM(39986,39998) = ( 39986 × 39998) / 2
LCM(39986,39998) = 1599360028 / 2
LCM(39986,39998) = 799680014

Least Common Multiple (LCM) of 39986 and 39998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39986 and 39998. First we will calculate the prime factors of 39986 and 39998.

Prime Factorization of 39986

Prime Factorization of 39998

Now multiplying the highest exponent prime factors to calculate the LCM of 39986 and 39998.

LCM(39986,39998) = 2¹ × 19993¹ × 7¹ × 2857¹
LCM(39986,39998) = 799680014