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What is the Least Common Multiple of 29694 and 29710?

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 29710 is 441104370.

LCM(29694,29710) = 441104370

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Least Common Multiple of 29694 and 29710 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 29710, than apply into the LCM equation.

GCF(29694,29710) = 2
LCM(29694,29710) = ( 29694 × 29710) / 2
LCM(29694,29710) = 882208740 / 2
LCM(29694,29710) = 441104370

Least Common Multiple (LCM) of 29694 and 29710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29694 and 29710. First we will calculate the prime factors of 29694 and 29710.

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 29710

Prime factors of 29710 are 2, 5, 2971. Prime factorization of 29710 in exponential form is:

29710 = 21 × 51 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 29694 and 29710.

LCM(29694,29710) = 21 × 31 × 72 × 1011 × 51 × 29711
LCM(29694,29710) = 441104370