What is the Least Common Multiple of 15986 and 15998?

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 15986 and 15998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15986 and 15998, than apply into the LCM equation.

GCF(15986,15998) = 2
LCM(15986,15998) = ( 15986 × 15998) / 2
LCM(15986,15998) = 255744028 / 2
LCM(15986,15998) = 127872014

Least Common Multiple (LCM) of 15986 and 15998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15986 and 15998. First we will calculate the prime factors of 15986 and 15998.

Prime Factorization of 15986

Prime Factorization of 15998

Now multiplying the highest exponent prime factors to calculate the LCM of 15986 and 15998.

LCM(15986,15998) = 2¹ × 7993¹ × 19¹ × 421¹
LCM(15986,15998) = 127872014