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What is the Least Common Multiple of 1383 and 1400?

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 1383 and 1400 is 1936200.

LCM(1383,1400) = 1936200

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Least Common Multiple of 1383 and 1400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1383 and 1400, than apply into the LCM equation.

GCF(1383,1400) = 1
LCM(1383,1400) = ( 1383 × 1400) / 1
LCM(1383,1400) = 1936200 / 1
LCM(1383,1400) = 1936200

Least Common Multiple (LCM) of 1383 and 1400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1383 and 1400. First we will calculate the prime factors of 1383 and 1400.

Prime Factorization of 1383

Prime factors of 1383 are 3, 461. Prime factorization of 1383 in exponential form is:

1383 = 31 × 4611

Prime Factorization of 1400

Prime factors of 1400 are 2, 5, 7. Prime factorization of 1400 in exponential form is:

1400 = 23 × 52 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 1383 and 1400.

LCM(1383,1400) = 31 × 4611 × 23 × 52 × 71
LCM(1383,1400) = 1936200