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What is the Least Common Multiple of 49537 and 49547?

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 49537 and 49547 is 2454409739.

LCM(49537,49547) = 2454409739

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Least Common Multiple of 49537 and 49547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49537 and 49547, than apply into the LCM equation.

GCF(49537,49547) = 1
LCM(49537,49547) = ( 49537 × 49547) / 1
LCM(49537,49547) = 2454409739 / 1
LCM(49537,49547) = 2454409739

Least Common Multiple (LCM) of 49537 and 49547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49537 and 49547. First we will calculate the prime factors of 49537 and 49547.

Prime Factorization of 49537

Prime factors of 49537 are 49537. Prime factorization of 49537 in exponential form is:

49537 = 495371

Prime Factorization of 49547

Prime factors of 49547 are 49547. Prime factorization of 49547 in exponential form is:

49547 = 495471

Now multiplying the highest exponent prime factors to calculate the LCM of 49537 and 49547.

LCM(49537,49547) = 495371 × 495471
LCM(49537,49547) = 2454409739