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What is the Least Common Multiple of 93730 and 93744?

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 93730 and 93744 is 627616080.

LCM(93730,93744) = 627616080

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Least Common Multiple of 93730 and 93744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93730 and 93744, than apply into the LCM equation.

GCF(93730,93744) = 14
LCM(93730,93744) = ( 93730 × 93744) / 14
LCM(93730,93744) = 8786625120 / 14
LCM(93730,93744) = 627616080

Least Common Multiple (LCM) of 93730 and 93744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93730 and 93744. First we will calculate the prime factors of 93730 and 93744.

Prime Factorization of 93730

Prime factors of 93730 are 2, 5, 7, 13, 103. Prime factorization of 93730 in exponential form is:

93730 = 21 × 51 × 71 × 131 × 1031

Prime Factorization of 93744

Prime factors of 93744 are 2, 3, 7, 31. Prime factorization of 93744 in exponential form is:

93744 = 24 × 33 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 93730 and 93744.

LCM(93730,93744) = 24 × 51 × 71 × 131 × 1031 × 33 × 311
LCM(93730,93744) = 627616080