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What is the Least Common Multiple of 49865 and 49883?

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 49865 and 49883 is 2487415795.

LCM(49865,49883) = 2487415795

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Least Common Multiple of 49865 and 49883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49865 and 49883, than apply into the LCM equation.

GCF(49865,49883) = 1
LCM(49865,49883) = ( 49865 × 49883) / 1
LCM(49865,49883) = 2487415795 / 1
LCM(49865,49883) = 2487415795

Least Common Multiple (LCM) of 49865 and 49883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49865 and 49883. First we will calculate the prime factors of 49865 and 49883.

Prime Factorization of 49865

Prime factors of 49865 are 5, 9973. Prime factorization of 49865 in exponential form is:

49865 = 51 × 99731

Prime Factorization of 49883

Prime factors of 49883 are 83, 601. Prime factorization of 49883 in exponential form is:

49883 = 831 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 49865 and 49883.

LCM(49865,49883) = 51 × 99731 × 831 × 6011
LCM(49865,49883) = 2487415795