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What is the Least Common Multiple of 93221 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 93221 and 93232 is 8691180272.

LCM(93221,93232) = 8691180272

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Least Common Multiple of 93221 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 93221 and 93232, than apply into the LCM equation.

GCF(93221,93232) = 1
LCM(93221,93232) = ( 93221 × 93232) / 1
LCM(93221,93232) = 8691180272 / 1
LCM(93221,93232) = 8691180272

Least Common Multiple (LCM) of 93221 and 93232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93221 and 93232. First we will calculate the prime factors of 93221 and 93232.

Prime Factorization of 93221

Prime factors of 93221 are 73, 1277. Prime factorization of 93221 in exponential form is:

93221 = 731 × 12771

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 93221 and 93232.

LCM(93221,93232) = 731 × 12771 × 24 × 58271
LCM(93221,93232) = 8691180272