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What is the Least Common Multiple of 93818 and 93830?

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 93818 and 93830 is 4401471470.

LCM(93818,93830) = 4401471470

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Least Common Multiple of 93818 and 93830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93818 and 93830, than apply into the LCM equation.

GCF(93818,93830) = 2
LCM(93818,93830) = ( 93818 × 93830) / 2
LCM(93818,93830) = 8802942940 / 2
LCM(93818,93830) = 4401471470

Least Common Multiple (LCM) of 93818 and 93830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93818 and 93830. First we will calculate the prime factors of 93818 and 93830.

Prime Factorization of 93818

Prime factors of 93818 are 2, 61, 769. Prime factorization of 93818 in exponential form is:

93818 = 21 × 611 × 7691

Prime Factorization of 93830

Prime factors of 93830 are 2, 5, 11, 853. Prime factorization of 93830 in exponential form is:

93830 = 21 × 51 × 111 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 93818 and 93830.

LCM(93818,93830) = 21 × 611 × 7691 × 51 × 111 × 8531
LCM(93818,93830) = 4401471470