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What is the Least Common Multiple of 93217 and 93222?

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 93217 and 93222 is 8689875174.

LCM(93217,93222) = 8689875174

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Least Common Multiple of 93217 and 93222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93217 and 93222, than apply into the LCM equation.

GCF(93217,93222) = 1
LCM(93217,93222) = ( 93217 × 93222) / 1
LCM(93217,93222) = 8689875174 / 1
LCM(93217,93222) = 8689875174

Least Common Multiple (LCM) of 93217 and 93222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93217 and 93222. First we will calculate the prime factors of 93217 and 93222.

Prime Factorization of 93217

Prime factors of 93217 are 31, 97. Prime factorization of 93217 in exponential form is:

93217 = 312 × 971

Prime Factorization of 93222

Prime factors of 93222 are 2, 3, 5179. Prime factorization of 93222 in exponential form is:

93222 = 21 × 32 × 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 93217 and 93222.

LCM(93217,93222) = 312 × 971 × 21 × 32 × 51791
LCM(93217,93222) = 8689875174