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What is the Least Common Multiple of 49278 and 49285?

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 49278 and 49285 is 2428666230.

LCM(49278,49285) = 2428666230

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Least Common Multiple of 49278 and 49285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49278 and 49285, than apply into the LCM equation.

GCF(49278,49285) = 1
LCM(49278,49285) = ( 49278 × 49285) / 1
LCM(49278,49285) = 2428666230 / 1
LCM(49278,49285) = 2428666230

Least Common Multiple (LCM) of 49278 and 49285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49278 and 49285. First we will calculate the prime factors of 49278 and 49285.

Prime Factorization of 49278

Prime factors of 49278 are 2, 3, 43, 191. Prime factorization of 49278 in exponential form is:

49278 = 21 × 31 × 431 × 1911

Prime Factorization of 49285

Prime factors of 49285 are 5, 9857. Prime factorization of 49285 in exponential form is:

49285 = 51 × 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 49278 and 49285.

LCM(49278,49285) = 21 × 31 × 431 × 1911 × 51 × 98571
LCM(49278,49285) = 2428666230