What is the Least Common Multiple of 19985 and 19995?

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 19985 and 19995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19985 and 19995, than apply into the LCM equation.

GCF(19985,19995) = 5
LCM(19985,19995) = ( 19985 × 19995) / 5
LCM(19985,19995) = 399600075 / 5
LCM(19985,19995) = 79920015

Least Common Multiple (LCM) of 19985 and 19995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19985 and 19995. First we will calculate the prime factors of 19985 and 19995.

Prime Factorization of 19985

Prime Factorization of 19995

Now multiplying the highest exponent prime factors to calculate the LCM of 19985 and 19995.

LCM(19985,19995) = 5¹ × 7¹ × 571¹ × 3¹ × 31¹ × 43¹
LCM(19985,19995) = 79920015