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What is the Least Common Multiple of 29602 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 29602 and 29614 is 438316814.

LCM(29602,29614) = 438316814

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Least Common Multiple of 29602 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 29602 and 29614, than apply into the LCM equation.

GCF(29602,29614) = 2
LCM(29602,29614) = ( 29602 × 29614) / 2
LCM(29602,29614) = 876633628 / 2
LCM(29602,29614) = 438316814

Least Common Multiple (LCM) of 29602 and 29614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29602 and 29614. First we will calculate the prime factors of 29602 and 29614.

Prime Factorization of 29602

Prime factors of 29602 are 2, 19, 41. Prime factorization of 29602 in exponential form is:

29602 = 21 × 192 × 411

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 29602 and 29614.

LCM(29602,29614) = 21 × 192 × 411 × 131 × 171 × 671
LCM(29602,29614) = 438316814