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What is the Least Common Multiple of 29702 and 29712?

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 29702 and 29712 is 441252912.

LCM(29702,29712) = 441252912

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Least Common Multiple of 29702 and 29712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29702 and 29712, than apply into the LCM equation.

GCF(29702,29712) = 2
LCM(29702,29712) = ( 29702 × 29712) / 2
LCM(29702,29712) = 882505824 / 2
LCM(29702,29712) = 441252912

Least Common Multiple (LCM) of 29702 and 29712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29702 and 29712. First we will calculate the prime factors of 29702 and 29712.

Prime Factorization of 29702

Prime factors of 29702 are 2, 14851. Prime factorization of 29702 in exponential form is:

29702 = 21 × 148511

Prime Factorization of 29712

Prime factors of 29712 are 2, 3, 619. Prime factorization of 29712 in exponential form is:

29712 = 24 × 31 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 29702 and 29712.

LCM(29702,29712) = 24 × 148511 × 31 × 6191
LCM(29702,29712) = 441252912