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What is the Least Common Multiple of 43389 and 43400?

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 43389 and 43400 is 1883082600.

LCM(43389,43400) = 1883082600

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Least Common Multiple of 43389 and 43400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43389 and 43400, than apply into the LCM equation.

GCF(43389,43400) = 1
LCM(43389,43400) = ( 43389 × 43400) / 1
LCM(43389,43400) = 1883082600 / 1
LCM(43389,43400) = 1883082600

Least Common Multiple (LCM) of 43389 and 43400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43389 and 43400. First we will calculate the prime factors of 43389 and 43400.

Prime Factorization of 43389

Prime factors of 43389 are 3, 1607. Prime factorization of 43389 in exponential form is:

43389 = 33 × 16071

Prime Factorization of 43400

Prime factors of 43400 are 2, 5, 7, 31. Prime factorization of 43400 in exponential form is:

43400 = 23 × 52 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 43389 and 43400.

LCM(43389,43400) = 33 × 16071 × 23 × 52 × 71 × 311
LCM(43389,43400) = 1883082600