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What is the Least Common Multiple of 48806 and 48811?

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 48806 and 48811 is 2382269666.

LCM(48806,48811) = 2382269666

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Least Common Multiple of 48806 and 48811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48806 and 48811, than apply into the LCM equation.

GCF(48806,48811) = 1
LCM(48806,48811) = ( 48806 × 48811) / 1
LCM(48806,48811) = 2382269666 / 1
LCM(48806,48811) = 2382269666

Least Common Multiple (LCM) of 48806 and 48811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48806 and 48811. First we will calculate the prime factors of 48806 and 48811.

Prime Factorization of 48806

Prime factors of 48806 are 2, 23, 1061. Prime factorization of 48806 in exponential form is:

48806 = 21 × 231 × 10611

Prime Factorization of 48811

Prime factors of 48811 are 7, 19, 367. Prime factorization of 48811 in exponential form is:

48811 = 71 × 191 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 48806 and 48811.

LCM(48806,48811) = 21 × 231 × 10611 × 71 × 191 × 3671
LCM(48806,48811) = 2382269666