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What is the Least Common Multiple of 93415 and 93430?

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 93415 and 93430 is 1745552690.

LCM(93415,93430) = 1745552690

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Least Common Multiple of 93415 and 93430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93415 and 93430, than apply into the LCM equation.

GCF(93415,93430) = 5
LCM(93415,93430) = ( 93415 × 93430) / 5
LCM(93415,93430) = 8727763450 / 5
LCM(93415,93430) = 1745552690

Least Common Multiple (LCM) of 93415 and 93430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93415 and 93430. First we will calculate the prime factors of 93415 and 93430.

Prime Factorization of 93415

Prime factors of 93415 are 5, 7, 17, 157. Prime factorization of 93415 in exponential form is:

93415 = 51 × 71 × 171 × 1571

Prime Factorization of 93430

Prime factors of 93430 are 2, 5, 9343. Prime factorization of 93430 in exponential form is:

93430 = 21 × 51 × 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 93415 and 93430.

LCM(93415,93430) = 51 × 71 × 171 × 1571 × 21 × 93431
LCM(93415,93430) = 1745552690