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What is the Least Common Multiple of 18985 and 18995?

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 (LCM) of 18985 and 18995 is 72124015.

LCM(18985,18995) = 72124015

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Least Common Multiple of 18985 and 18995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18985 and 18995, than apply into the LCM equation.

GCF(18985,18995) = 5
LCM(18985,18995) = ( 18985 × 18995) / 5
LCM(18985,18995) = 360620075 / 5
LCM(18985,18995) = 72124015

Least Common Multiple (LCM) of 18985 and 18995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18985 and 18995. First we will calculate the prime factors of 18985 and 18995.

Prime Factorization of 18985

Prime factors of 18985 are 5, 3797. Prime factorization of 18985 in exponential form is:

18985 = 51 × 37971

Prime Factorization of 18995

Prime factors of 18995 are 5, 29, 131. Prime factorization of 18995 in exponential form is:

18995 = 51 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 18985 and 18995.

LCM(18985,18995) = 51 × 37971 × 291 × 1311
LCM(18985,18995) = 72124015