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What is the Least Common Multiple of 93820 and 93827?

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 93820 and 93827 is 8802849140.

LCM(93820,93827) = 8802849140

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Least Common Multiple of 93820 and 93827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93820 and 93827, than apply into the LCM equation.

GCF(93820,93827) = 1
LCM(93820,93827) = ( 93820 × 93827) / 1
LCM(93820,93827) = 8802849140 / 1
LCM(93820,93827) = 8802849140

Least Common Multiple (LCM) of 93820 and 93827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93820 and 93827. First we will calculate the prime factors of 93820 and 93827.

Prime Factorization of 93820

Prime factors of 93820 are 2, 5, 4691. Prime factorization of 93820 in exponential form is:

93820 = 22 × 51 × 46911

Prime Factorization of 93827

Prime factors of 93827 are 93827. Prime factorization of 93827 in exponential form is:

93827 = 938271

Now multiplying the highest exponent prime factors to calculate the LCM of 93820 and 93827.

LCM(93820,93827) = 22 × 51 × 46911 × 938271
LCM(93820,93827) = 8802849140