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What is the Least Common Multiple of 13937 and 13951?

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 13937 and 13951 is 27776441.

LCM(13937,13951) = 27776441

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Least Common Multiple of 13937 and 13951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13937 and 13951, than apply into the LCM equation.

GCF(13937,13951) = 7
LCM(13937,13951) = ( 13937 × 13951) / 7
LCM(13937,13951) = 194435087 / 7
LCM(13937,13951) = 27776441

Least Common Multiple (LCM) of 13937 and 13951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13937 and 13951. First we will calculate the prime factors of 13937 and 13951.

Prime Factorization of 13937

Prime factors of 13937 are 7, 11, 181. Prime factorization of 13937 in exponential form is:

13937 = 71 × 111 × 1811

Prime Factorization of 13951

Prime factors of 13951 are 7, 1993. Prime factorization of 13951 in exponential form is:

13951 = 71 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 13937 and 13951.

LCM(13937,13951) = 71 × 111 × 1811 × 19931
LCM(13937,13951) = 27776441