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What is the Least Common Multiple of 93810 and 93828?

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 93810 and 93828 is 1467000780.

LCM(93810,93828) = 1467000780

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Least Common Multiple of 93810 and 93828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93810 and 93828, than apply into the LCM equation.

GCF(93810,93828) = 6
LCM(93810,93828) = ( 93810 × 93828) / 6
LCM(93810,93828) = 8802004680 / 6
LCM(93810,93828) = 1467000780

Least Common Multiple (LCM) of 93810 and 93828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93810 and 93828. First we will calculate the prime factors of 93810 and 93828.

Prime Factorization of 93810

Prime factors of 93810 are 2, 3, 5, 53, 59. Prime factorization of 93810 in exponential form is:

93810 = 21 × 31 × 51 × 531 × 591

Prime Factorization of 93828

Prime factors of 93828 are 2, 3, 7, 1117. Prime factorization of 93828 in exponential form is:

93828 = 22 × 31 × 71 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 93810 and 93828.

LCM(93810,93828) = 22 × 31 × 51 × 531 × 591 × 71 × 11171
LCM(93810,93828) = 1467000780