What is the Least Common Multiple of 16980 and 16995?

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 16980 and 16995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16980 and 16995, than apply into the LCM equation.

GCF(16980,16995) = 15
LCM(16980,16995) = ( 16980 × 16995) / 15
LCM(16980,16995) = 288575100 / 15
LCM(16980,16995) = 19238340

Least Common Multiple (LCM) of 16980 and 16995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16980 and 16995. First we will calculate the prime factors of 16980 and 16995.

Prime Factorization of 16980

Prime Factorization of 16995

Now multiplying the highest exponent prime factors to calculate the LCM of 16980 and 16995.

LCM(16980,16995) = 2² × 3¹ × 5¹ × 283¹ × 11¹ × 103¹
LCM(16980,16995) = 19238340