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What is the Least Common Multiple of 29605 and 29614?

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 29605 and 29614 is 876722470.

LCM(29605,29614) = 876722470

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Least Common Multiple of 29605 and 29614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29605 and 29614, than apply into the LCM equation.

GCF(29605,29614) = 1
LCM(29605,29614) = ( 29605 × 29614) / 1
LCM(29605,29614) = 876722470 / 1
LCM(29605,29614) = 876722470

Least Common Multiple (LCM) of 29605 and 29614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29605 and 29614. First we will calculate the prime factors of 29605 and 29614.

Prime Factorization of 29605

Prime factors of 29605 are 5, 31, 191. Prime factorization of 29605 in exponential form is:

29605 = 51 × 311 × 1911

Prime Factorization of 29614

Prime factors of 29614 are 2, 13, 17, 67. Prime factorization of 29614 in exponential form is:

29614 = 21 × 131 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 29605 and 29614.

LCM(29605,29614) = 51 × 311 × 1911 × 21 × 131 × 171 × 671
LCM(29605,29614) = 876722470