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What is the Least Common Multiple of 48814 and 48834?

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 48814 and 48834 is 1191891438.

LCM(48814,48834) = 1191891438

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Least Common Multiple of 48814 and 48834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48814 and 48834, than apply into the LCM equation.

GCF(48814,48834) = 2
LCM(48814,48834) = ( 48814 × 48834) / 2
LCM(48814,48834) = 2383782876 / 2
LCM(48814,48834) = 1191891438

Least Common Multiple (LCM) of 48814 and 48834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48814 and 48834. First we will calculate the prime factors of 48814 and 48834.

Prime Factorization of 48814

Prime factors of 48814 are 2, 24407. Prime factorization of 48814 in exponential form is:

48814 = 21 × 244071

Prime Factorization of 48834

Prime factors of 48834 are 2, 3, 2713. Prime factorization of 48834 in exponential form is:

48834 = 21 × 32 × 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 48814 and 48834.

LCM(48814,48834) = 21 × 244071 × 32 × 27131
LCM(48814,48834) = 1191891438