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What is the Least Common Multiple of 48826 and 48843?

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 48826 and 48843 is 2384808318.

LCM(48826,48843) = 2384808318

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Least Common Multiple of 48826 and 48843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48826 and 48843, than apply into the LCM equation.

GCF(48826,48843) = 1
LCM(48826,48843) = ( 48826 × 48843) / 1
LCM(48826,48843) = 2384808318 / 1
LCM(48826,48843) = 2384808318

Least Common Multiple (LCM) of 48826 and 48843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48826 and 48843. First we will calculate the prime factors of 48826 and 48843.

Prime Factorization of 48826

Prime factors of 48826 are 2, 24413. Prime factorization of 48826 in exponential form is:

48826 = 21 × 244131

Prime Factorization of 48843

Prime factors of 48843 are 3, 67. Prime factorization of 48843 in exponential form is:

48843 = 36 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 48826 and 48843.

LCM(48826,48843) = 21 × 244131 × 36 × 671
LCM(48826,48843) = 2384808318