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What is the Least Common Multiple of 29596 and 29613?

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 29596 and 29613 is 876426348.

LCM(29596,29613) = 876426348

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Least Common Multiple of 29596 and 29613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29596 and 29613, than apply into the LCM equation.

GCF(29596,29613) = 1
LCM(29596,29613) = ( 29596 × 29613) / 1
LCM(29596,29613) = 876426348 / 1
LCM(29596,29613) = 876426348

Least Common Multiple (LCM) of 29596 and 29613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29596 and 29613. First we will calculate the prime factors of 29596 and 29613.

Prime Factorization of 29596

Prime factors of 29596 are 2, 7, 151. Prime factorization of 29596 in exponential form is:

29596 = 22 × 72 × 1511

Prime Factorization of 29613

Prime factors of 29613 are 3, 9871. Prime factorization of 29613 in exponential form is:

29613 = 31 × 98711

Now multiplying the highest exponent prime factors to calculate the LCM of 29596 and 29613.

LCM(29596,29613) = 22 × 72 × 1511 × 31 × 98711
LCM(29596,29613) = 876426348