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What is the Least Common Multiple of 29613 and 29619?

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 29613 and 29619 is 292369149.

LCM(29613,29619) = 292369149

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Least Common Multiple of 29613 and 29619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29613 and 29619, than apply into the LCM equation.

GCF(29613,29619) = 3
LCM(29613,29619) = ( 29613 × 29619) / 3
LCM(29613,29619) = 877107447 / 3
LCM(29613,29619) = 292369149

Least Common Multiple (LCM) of 29613 and 29619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29613 and 29619. First we will calculate the prime factors of 29613 and 29619.

Prime Factorization of 29613

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

29613 = 31 × 98711

Prime Factorization of 29619

Prime factors of 29619 are 3, 1097. Prime factorization of 29619 in exponential form is:

29619 = 33 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 29613 and 29619.

LCM(29613,29619) = 33 × 98711 × 10971
LCM(29613,29619) = 292369149