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What is the Least Common Multiple of 32479 and 32483?

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 32479 and 32483 is 1055015357.

LCM(32479,32483) = 1055015357

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Least Common Multiple of 32479 and 32483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32479 and 32483, than apply into the LCM equation.

GCF(32479,32483) = 1
LCM(32479,32483) = ( 32479 × 32483) / 1
LCM(32479,32483) = 1055015357 / 1
LCM(32479,32483) = 1055015357

Least Common Multiple (LCM) of 32479 and 32483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32479 and 32483. First we will calculate the prime factors of 32479 and 32483.

Prime Factorization of 32479

Prime factors of 32479 are 32479. Prime factorization of 32479 in exponential form is:

32479 = 324791

Prime Factorization of 32483

Prime factors of 32483 are 11, 2953. Prime factorization of 32483 in exponential form is:

32483 = 111 × 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 32479 and 32483.

LCM(32479,32483) = 324791 × 111 × 29531
LCM(32479,32483) = 1055015357