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What is the Least Common Multiple of 50432 and 50437?

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 50432 and 50437 is 2543638784.

LCM(50432,50437) = 2543638784

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Least Common Multiple of 50432 and 50437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50432 and 50437, than apply into the LCM equation.

GCF(50432,50437) = 1
LCM(50432,50437) = ( 50432 × 50437) / 1
LCM(50432,50437) = 2543638784 / 1
LCM(50432,50437) = 2543638784

Least Common Multiple (LCM) of 50432 and 50437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50432 and 50437. First we will calculate the prime factors of 50432 and 50437.

Prime Factorization of 50432

Prime factors of 50432 are 2, 197. Prime factorization of 50432 in exponential form is:

50432 = 28 × 1971

Prime Factorization of 50437

Prime factors of 50437 are 31, 1627. Prime factorization of 50437 in exponential form is:

50437 = 311 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 50432 and 50437.

LCM(50432,50437) = 28 × 1971 × 311 × 16271
LCM(50432,50437) = 2543638784