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What is the Least Common Multiple of 29418 and 29437?

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 29418 and 29437 is 865977666.

LCM(29418,29437) = 865977666

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Least Common Multiple of 29418 and 29437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29418 and 29437, than apply into the LCM equation.

GCF(29418,29437) = 1
LCM(29418,29437) = ( 29418 × 29437) / 1
LCM(29418,29437) = 865977666 / 1
LCM(29418,29437) = 865977666

Least Common Multiple (LCM) of 29418 and 29437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29418 and 29437. First we will calculate the prime factors of 29418 and 29437.

Prime Factorization of 29418

Prime factors of 29418 are 2, 3, 4903. Prime factorization of 29418 in exponential form is:

29418 = 21 × 31 × 49031

Prime Factorization of 29437

Prime factors of 29437 are 29437. Prime factorization of 29437 in exponential form is:

29437 = 294371

Now multiplying the highest exponent prime factors to calculate the LCM of 29418 and 29437.

LCM(29418,29437) = 21 × 31 × 49031 × 294371
LCM(29418,29437) = 865977666