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What is the Least Common Multiple of 93208 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 93208 and 93222 is 4344518088.

LCM(93208,93222) = 4344518088

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Least Common Multiple of 93208 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 93208 and 93222, than apply into the LCM equation.

GCF(93208,93222) = 2
LCM(93208,93222) = ( 93208 × 93222) / 2
LCM(93208,93222) = 8689036176 / 2
LCM(93208,93222) = 4344518088

Least Common Multiple (LCM) of 93208 and 93222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93208 and 93222. First we will calculate the prime factors of 93208 and 93222.

Prime Factorization of 93208

Prime factors of 93208 are 2, 61, 191. Prime factorization of 93208 in exponential form is:

93208 = 23 × 611 × 1911

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 93208 and 93222.

LCM(93208,93222) = 23 × 611 × 1911 × 32 × 51791
LCM(93208,93222) = 4344518088