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What is the Least Common Multiple of 15989 and 16003?

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 15989 and 16003 is 255871967.

LCM(15989,16003) = 255871967

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Least Common Multiple of 15989 and 16003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15989 and 16003, than apply into the LCM equation.

GCF(15989,16003) = 1
LCM(15989,16003) = ( 15989 × 16003) / 1
LCM(15989,16003) = 255871967 / 1
LCM(15989,16003) = 255871967

Least Common Multiple (LCM) of 15989 and 16003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15989 and 16003. First we will calculate the prime factors of 15989 and 16003.

Prime Factorization of 15989

Prime factors of 15989 are 59, 271. Prime factorization of 15989 in exponential form is:

15989 = 591 × 2711

Prime Factorization of 16003

Prime factors of 16003 are 13, 1231. Prime factorization of 16003 in exponential form is:

16003 = 131 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 15989 and 16003.

LCM(15989,16003) = 591 × 2711 × 131 × 12311
LCM(15989,16003) = 255871967