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What is the Least Common Multiple of 49237 and 49255?

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 49237 and 49255 is 2425168435.

LCM(49237,49255) = 2425168435

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Least Common Multiple of 49237 and 49255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49237 and 49255, than apply into the LCM equation.

GCF(49237,49255) = 1
LCM(49237,49255) = ( 49237 × 49255) / 1
LCM(49237,49255) = 2425168435 / 1
LCM(49237,49255) = 2425168435

Least Common Multiple (LCM) of 49237 and 49255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49237 and 49255. First we will calculate the prime factors of 49237 and 49255.

Prime Factorization of 49237

Prime factors of 49237 are 53, 929. Prime factorization of 49237 in exponential form is:

49237 = 531 × 9291

Prime Factorization of 49255

Prime factors of 49255 are 5, 9851. Prime factorization of 49255 in exponential form is:

49255 = 51 × 98511

Now multiplying the highest exponent prime factors to calculate the LCM of 49237 and 49255.

LCM(49237,49255) = 531 × 9291 × 51 × 98511
LCM(49237,49255) = 2425168435