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What is the Least Common Multiple of 29694 and 29698?

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 29694 and 29698 is 440926206.

LCM(29694,29698) = 440926206

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Least Common Multiple of 29694 and 29698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29694 and 29698, than apply into the LCM equation.

GCF(29694,29698) = 2
LCM(29694,29698) = ( 29694 × 29698) / 2
LCM(29694,29698) = 881852412 / 2
LCM(29694,29698) = 440926206

Least Common Multiple (LCM) of 29694 and 29698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29694 and 29698. First we will calculate the prime factors of 29694 and 29698.

Prime Factorization of 29694

Prime factors of 29694 are 2, 3, 7, 101. Prime factorization of 29694 in exponential form is:

29694 = 21 × 31 × 72 × 1011

Prime Factorization of 29698

Prime factors of 29698 are 2, 31, 479. Prime factorization of 29698 in exponential form is:

29698 = 21 × 311 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 29694 and 29698.

LCM(29694,29698) = 21 × 31 × 72 × 1011 × 311 × 4791
LCM(29694,29698) = 440926206