What is the Least Common Multiple of 15978 and 15993?

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 15978 and 15993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15978 and 15993, than apply into the LCM equation.

GCF(15978,15993) = 3
LCM(15978,15993) = ( 15978 × 15993) / 3
LCM(15978,15993) = 255536154 / 3
LCM(15978,15993) = 85178718

Least Common Multiple (LCM) of 15978 and 15993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15978 and 15993. First we will calculate the prime factors of 15978 and 15993.

Prime Factorization of 15978

Prime Factorization of 15993

Now multiplying the highest exponent prime factors to calculate the LCM of 15978 and 15993.

LCM(15978,15993) = 2¹ × 3² × 2663¹ × 1777¹
LCM(15978,15993) = 85178718