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What is the Least Common Multiple of 4429 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 4429 and 4437 is 19651473.

LCM(4429,4437) = 19651473

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Least Common Multiple of 4429 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 4429 and 4437, than apply into the LCM equation.

GCF(4429,4437) = 1
LCM(4429,4437) = ( 4429 × 4437) / 1
LCM(4429,4437) = 19651473 / 1
LCM(4429,4437) = 19651473

Least Common Multiple (LCM) of 4429 and 4437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4429 and 4437. First we will calculate the prime factors of 4429 and 4437.

Prime Factorization of 4429

Prime factors of 4429 are 43, 103. Prime factorization of 4429 in exponential form is:

4429 = 431 × 1031

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 4429 and 4437.

LCM(4429,4437) = 431 × 1031 × 32 × 171 × 291
LCM(4429,4437) = 19651473