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What is the Least Common Multiple of 71429 and 71437?

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 71429 and 71437 is 5102673473.

LCM(71429,71437) = 5102673473

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Least Common Multiple of 71429 and 71437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71429 and 71437, than apply into the LCM equation.

GCF(71429,71437) = 1
LCM(71429,71437) = ( 71429 × 71437) / 1
LCM(71429,71437) = 5102673473 / 1
LCM(71429,71437) = 5102673473

Least Common Multiple (LCM) of 71429 and 71437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71429 and 71437. First we will calculate the prime factors of 71429 and 71437.

Prime Factorization of 71429

Prime factors of 71429 are 71429. Prime factorization of 71429 in exponential form is:

71429 = 714291

Prime Factorization of 71437

Prime factors of 71437 are 71437. Prime factorization of 71437 in exponential form is:

71437 = 714371

Now multiplying the highest exponent prime factors to calculate the LCM of 71429 and 71437.

LCM(71429,71437) = 714291 × 714371
LCM(71429,71437) = 5102673473