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What is the Least Common Multiple of 48843 and 48850?

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 48843 and 48850 is 2385980550.

LCM(48843,48850) = 2385980550

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Least Common Multiple of 48843 and 48850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48843 and 48850, than apply into the LCM equation.

GCF(48843,48850) = 1
LCM(48843,48850) = ( 48843 × 48850) / 1
LCM(48843,48850) = 2385980550 / 1
LCM(48843,48850) = 2385980550

Least Common Multiple (LCM) of 48843 and 48850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48843 and 48850. First we will calculate the prime factors of 48843 and 48850.

Prime Factorization of 48843

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

48843 = 36 × 671

Prime Factorization of 48850

Prime factors of 48850 are 2, 5, 977. Prime factorization of 48850 in exponential form is:

48850 = 21 × 52 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 48843 and 48850.

LCM(48843,48850) = 36 × 671 × 21 × 52 × 9771
LCM(48843,48850) = 2385980550