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What is the Least Common Multiple of 4418 and 4437?

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 4418 and 4437 is 19602666.

LCM(4418,4437) = 19602666

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Least Common Multiple of 4418 and 4437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4418 and 4437, than apply into the LCM equation.

GCF(4418,4437) = 1
LCM(4418,4437) = ( 4418 × 4437) / 1
LCM(4418,4437) = 19602666 / 1
LCM(4418,4437) = 19602666

Least Common Multiple (LCM) of 4418 and 4437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4437. First we will calculate the prime factors of 4418 and 4437.

Prime Factorization of 4418

Prime factors of 4418 are 2, 47. Prime factorization of 4418 in exponential form is:

4418 = 21 × 472

Prime Factorization of 4437

Prime factors of 4437 are 3, 17, 29. Prime factorization of 4437 in exponential form is:

4437 = 32 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4437.

LCM(4418,4437) = 21 × 472 × 32 × 171 × 291
LCM(4418,4437) = 19602666