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What is the Least Common Multiple of 93800 and 93810?

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 93800 and 93810 is 879937800.

LCM(93800,93810) = 879937800

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Least Common Multiple of 93800 and 93810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93800 and 93810, than apply into the LCM equation.

GCF(93800,93810) = 10
LCM(93800,93810) = ( 93800 × 93810) / 10
LCM(93800,93810) = 8799378000 / 10
LCM(93800,93810) = 879937800

Least Common Multiple (LCM) of 93800 and 93810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93800 and 93810. First we will calculate the prime factors of 93800 and 93810.

Prime Factorization of 93800

Prime factors of 93800 are 2, 5, 7, 67. Prime factorization of 93800 in exponential form is:

93800 = 23 × 52 × 71 × 671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93800 and 93810.

LCM(93800,93810) = 23 × 52 × 71 × 671 × 31 × 531 × 591
LCM(93800,93810) = 879937800