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What is the Least Common Multiple of 13701 and 13714?

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 13701 and 13714 is 187895514.

LCM(13701,13714) = 187895514

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Least Common Multiple of 13701 and 13714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13701 and 13714, than apply into the LCM equation.

GCF(13701,13714) = 1
LCM(13701,13714) = ( 13701 × 13714) / 1
LCM(13701,13714) = 187895514 / 1
LCM(13701,13714) = 187895514

Least Common Multiple (LCM) of 13701 and 13714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13701 and 13714. First we will calculate the prime factors of 13701 and 13714.

Prime Factorization of 13701

Prime factors of 13701 are 3, 4567. Prime factorization of 13701 in exponential form is:

13701 = 31 × 45671

Prime Factorization of 13714

Prime factors of 13714 are 2, 6857. Prime factorization of 13714 in exponential form is:

13714 = 21 × 68571

Now multiplying the highest exponent prime factors to calculate the LCM of 13701 and 13714.

LCM(13701,13714) = 31 × 45671 × 21 × 68571
LCM(13701,13714) = 187895514