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What is the Least Common Multiple of 29366 and 29370?

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 29366 and 29370 is 431239710.

LCM(29366,29370) = 431239710

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Least Common Multiple of 29366 and 29370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29366 and 29370, than apply into the LCM equation.

GCF(29366,29370) = 2
LCM(29366,29370) = ( 29366 × 29370) / 2
LCM(29366,29370) = 862479420 / 2
LCM(29366,29370) = 431239710

Least Common Multiple (LCM) of 29366 and 29370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29366 and 29370. First we will calculate the prime factors of 29366 and 29370.

Prime Factorization of 29366

Prime factors of 29366 are 2, 14683. Prime factorization of 29366 in exponential form is:

29366 = 21 × 146831

Prime Factorization of 29370

Prime factors of 29370 are 2, 3, 5, 11, 89. Prime factorization of 29370 in exponential form is:

29370 = 21 × 31 × 51 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 29366 and 29370.

LCM(29366,29370) = 21 × 146831 × 31 × 51 × 111 × 891
LCM(29366,29370) = 431239710