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What is the Least Common Multiple of 29794 and 29814?

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 29794 and 29814 is 444139158.

LCM(29794,29814) = 444139158

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Least Common Multiple of 29794 and 29814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29794 and 29814, than apply into the LCM equation.

GCF(29794,29814) = 2
LCM(29794,29814) = ( 29794 × 29814) / 2
LCM(29794,29814) = 888278316 / 2
LCM(29794,29814) = 444139158

Least Common Multiple (LCM) of 29794 and 29814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29794 and 29814. First we will calculate the prime factors of 29794 and 29814.

Prime Factorization of 29794

Prime factors of 29794 are 2, 14897. Prime factorization of 29794 in exponential form is:

29794 = 21 × 148971

Prime Factorization of 29814

Prime factors of 29814 are 2, 3, 4969. Prime factorization of 29814 in exponential form is:

29814 = 21 × 31 × 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 29794 and 29814.

LCM(29794,29814) = 21 × 148971 × 31 × 49691
LCM(29794,29814) = 444139158