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What is the Least Common Multiple of 49627 and 49645?

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 49627 and 49645 is 2463732415.

LCM(49627,49645) = 2463732415

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Least Common Multiple of 49627 and 49645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49627 and 49645, than apply into the LCM equation.

GCF(49627,49645) = 1
LCM(49627,49645) = ( 49627 × 49645) / 1
LCM(49627,49645) = 2463732415 / 1
LCM(49627,49645) = 2463732415

Least Common Multiple (LCM) of 49627 and 49645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49627 and 49645. First we will calculate the prime factors of 49627 and 49645.

Prime Factorization of 49627

Prime factors of 49627 are 49627. Prime factorization of 49627 in exponential form is:

49627 = 496271

Prime Factorization of 49645

Prime factors of 49645 are 5, 9929. Prime factorization of 49645 in exponential form is:

49645 = 51 × 99291

Now multiplying the highest exponent prime factors to calculate the LCM of 49627 and 49645.

LCM(49627,49645) = 496271 × 51 × 99291
LCM(49627,49645) = 2463732415