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Least Common Multiple of 13972 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 13972 and 13987 is 195426364.

LCM(13972,13987) = 195426364

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Least Common Multiple of 13972 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 13972 and 13987, than apply into the LCM equation.

GCF(13972,13987) = 1
LCM(13972,13987) = ( 13972 × 13987) / 1
LCM(13972,13987) = 195426364 / 1
LCM(13972,13987) = 195426364

Least Common Multiple (LCM) of 13972 and 13987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13972 and 13987. First we will calculate the prime factors of 13972 and 13987.

Prime Factorization of 13972

Prime factors of 13972 are 2, 7, 499. Prime factorization of 13972 in exponential form is:

13972 = 22 × 71 × 4991

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 13972 and 13987.

LCM(13972,13987) = 22 × 71 × 4991 × 711 × 1971
LCM(13972,13987) = 195426364

Recent Comments
Ramya 2020-01-23 04:48:43

Give briefly the math answer

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