What is the Least Common Multiple of 19995 and 20015?

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 19995 and 20015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19995 and 20015, than apply into the LCM equation.

GCF(19995,20015) = 5
LCM(19995,20015) = ( 19995 × 20015) / 5
LCM(19995,20015) = 400199925 / 5
LCM(19995,20015) = 80039985

Least Common Multiple (LCM) of 19995 and 20015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19995 and 20015. First we will calculate the prime factors of 19995 and 20015.

Prime Factorization of 19995

Prime Factorization of 20015

Now multiplying the highest exponent prime factors to calculate the LCM of 19995 and 20015.

LCM(19995,20015) = 3¹ × 5¹ × 31¹ × 43¹ × 4003¹
LCM(19995,20015) = 80039985