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What is the Least Common Multiple of 93215 and 93232?

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 93215 and 93232 is 8690620880.

LCM(93215,93232) = 8690620880

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Least Common Multiple of 93215 and 93232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93215 and 93232, than apply into the LCM equation.

GCF(93215,93232) = 1
LCM(93215,93232) = ( 93215 × 93232) / 1
LCM(93215,93232) = 8690620880 / 1
LCM(93215,93232) = 8690620880

Least Common Multiple (LCM) of 93215 and 93232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93215 and 93232. First we will calculate the prime factors of 93215 and 93232.

Prime Factorization of 93215

Prime factors of 93215 are 5, 103, 181. Prime factorization of 93215 in exponential form is:

93215 = 51 × 1031 × 1811

Prime Factorization of 93232

Prime factors of 93232 are 2, 5827. Prime factorization of 93232 in exponential form is:

93232 = 24 × 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 93215 and 93232.

LCM(93215,93232) = 51 × 1031 × 1811 × 24 × 58271
LCM(93215,93232) = 8690620880