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What is the Least Common Multiple of 29499 and 29507?

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 29499 and 29507 is 870426993.

LCM(29499,29507) = 870426993

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Least Common Multiple of 29499 and 29507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29499 and 29507, than apply into the LCM equation.

GCF(29499,29507) = 1
LCM(29499,29507) = ( 29499 × 29507) / 1
LCM(29499,29507) = 870426993 / 1
LCM(29499,29507) = 870426993

Least Common Multiple (LCM) of 29499 and 29507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29499 and 29507. First we will calculate the prime factors of 29499 and 29507.

Prime Factorization of 29499

Prime factors of 29499 are 3, 9833. Prime factorization of 29499 in exponential form is:

29499 = 31 × 98331

Prime Factorization of 29507

Prime factors of 29507 are 19, 1553. Prime factorization of 29507 in exponential form is:

29507 = 191 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 29499 and 29507.

LCM(29499,29507) = 31 × 98331 × 191 × 15531
LCM(29499,29507) = 870426993