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What is the Least Common Multiple of 43493 and 43499?

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 43493 and 43499 is 1891902007.

LCM(43493,43499) = 1891902007

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Least Common Multiple of 43493 and 43499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43493 and 43499, than apply into the LCM equation.

GCF(43493,43499) = 1
LCM(43493,43499) = ( 43493 × 43499) / 1
LCM(43493,43499) = 1891902007 / 1
LCM(43493,43499) = 1891902007

Least Common Multiple (LCM) of 43493 and 43499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43493 and 43499. First we will calculate the prime factors of 43493 and 43499.

Prime Factorization of 43493

Prime factors of 43493 are 23, 31, 61. Prime factorization of 43493 in exponential form is:

43493 = 231 × 311 × 611

Prime Factorization of 43499

Prime factors of 43499 are 43499. Prime factorization of 43499 in exponential form is:

43499 = 434991

Now multiplying the highest exponent prime factors to calculate the LCM of 43493 and 43499.

LCM(43493,43499) = 231 × 311 × 611 × 434991
LCM(43493,43499) = 1891902007