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What is the Least Common Multiple of 29614 and 29620?

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 29614 and 29620 is 438583340.

LCM(29614,29620) = 438583340

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Least Common Multiple of 29614 and 29620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29614 and 29620, than apply into the LCM equation.

GCF(29614,29620) = 2
LCM(29614,29620) = ( 29614 × 29620) / 2
LCM(29614,29620) = 877166680 / 2
LCM(29614,29620) = 438583340

Least Common Multiple (LCM) of 29614 and 29620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29614 and 29620. First we will calculate the prime factors of 29614 and 29620.

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

Prime Factorization of 29620

Prime factors of 29620 are 2, 5, 1481. Prime factorization of 29620 in exponential form is:

29620 = 22 × 51 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 29614 and 29620.

LCM(29614,29620) = 22 × 131 × 171 × 671 × 51 × 14811
LCM(29614,29620) = 438583340