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What is the Least Common Multiple of 13971 and 13987?

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 13971 and 13987 is 195412377.

LCM(13971,13987) = 195412377

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Least Common Multiple of 13971 and 13987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13971 and 13987, than apply into the LCM equation.

GCF(13971,13987) = 1
LCM(13971,13987) = ( 13971 × 13987) / 1
LCM(13971,13987) = 195412377 / 1
LCM(13971,13987) = 195412377

Least Common Multiple (LCM) of 13971 and 13987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13971 and 13987. First we will calculate the prime factors of 13971 and 13987.

Prime Factorization of 13971

Prime factors of 13971 are 3, 4657. Prime factorization of 13971 in exponential form is:

13971 = 31 × 46571

Prime Factorization of 13987

Prime factors of 13987 are 71, 197. Prime factorization of 13987 in exponential form is:

13987 = 711 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 13971 and 13987.

LCM(13971,13987) = 31 × 46571 × 711 × 1971
LCM(13971,13987) = 195412377