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What is the Least Common Multiple of 43463 and 43479?

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 43463 and 43479 is 1889727777.

LCM(43463,43479) = 1889727777

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Least Common Multiple of 43463 and 43479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43463 and 43479, than apply into the LCM equation.

GCF(43463,43479) = 1
LCM(43463,43479) = ( 43463 × 43479) / 1
LCM(43463,43479) = 1889727777 / 1
LCM(43463,43479) = 1889727777

Least Common Multiple (LCM) of 43463 and 43479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43463 and 43479. First we will calculate the prime factors of 43463 and 43479.

Prime Factorization of 43463

Prime factors of 43463 are 7, 887. Prime factorization of 43463 in exponential form is:

43463 = 72 × 8871

Prime Factorization of 43479

Prime factors of 43479 are 3, 4831. Prime factorization of 43479 in exponential form is:

43479 = 32 × 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 43463 and 43479.

LCM(43463,43479) = 72 × 8871 × 32 × 48311
LCM(43463,43479) = 1889727777