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What is the Least Common Multiple of 1386 and 1399?

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 1386 and 1399 is 1939014.

LCM(1386,1399) = 1939014

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Least Common Multiple of 1386 and 1399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1386 and 1399, than apply into the LCM equation.

GCF(1386,1399) = 1
LCM(1386,1399) = ( 1386 × 1399) / 1
LCM(1386,1399) = 1939014 / 1
LCM(1386,1399) = 1939014

Least Common Multiple (LCM) of 1386 and 1399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1386 and 1399. First we will calculate the prime factors of 1386 and 1399.

Prime Factorization of 1386

Prime factors of 1386 are 2, 3, 7, 11. Prime factorization of 1386 in exponential form is:

1386 = 21 × 32 × 71 × 111

Prime Factorization of 1399

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 1386 and 1399.

LCM(1386,1399) = 21 × 32 × 71 × 111 × 13991
LCM(1386,1399) = 1939014