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What is the Least Common Multiple of 43272 and 43277?

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 43272 and 43277 is 1872682344.

LCM(43272,43277) = 1872682344

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Least Common Multiple of 43272 and 43277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43272 and 43277, than apply into the LCM equation.

GCF(43272,43277) = 1
LCM(43272,43277) = ( 43272 × 43277) / 1
LCM(43272,43277) = 1872682344 / 1
LCM(43272,43277) = 1872682344

Least Common Multiple (LCM) of 43272 and 43277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43272 and 43277. First we will calculate the prime factors of 43272 and 43277.

Prime Factorization of 43272

Prime factors of 43272 are 2, 3, 601. Prime factorization of 43272 in exponential form is:

43272 = 23 × 32 × 6011

Prime Factorization of 43277

Prime factors of 43277 are 13, 3329. Prime factorization of 43277 in exponential form is:

43277 = 131 × 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 43272 and 43277.

LCM(43272,43277) = 23 × 32 × 6011 × 131 × 33291
LCM(43272,43277) = 1872682344