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What is the Least Common Multiple of 93302 and 93308?

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 93302 and 93308 is 4352911508.

LCM(93302,93308) = 4352911508

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Least Common Multiple of 93302 and 93308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93302 and 93308, than apply into the LCM equation.

GCF(93302,93308) = 2
LCM(93302,93308) = ( 93302 × 93308) / 2
LCM(93302,93308) = 8705823016 / 2
LCM(93302,93308) = 4352911508

Least Common Multiple (LCM) of 93302 and 93308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93302 and 93308. First we will calculate the prime factors of 93302 and 93308.

Prime Factorization of 93302

Prime factors of 93302 are 2, 11, 4241. Prime factorization of 93302 in exponential form is:

93302 = 21 × 111 × 42411

Prime Factorization of 93308

Prime factors of 93308 are 2, 23327. Prime factorization of 93308 in exponential form is:

93308 = 22 × 233271

Now multiplying the highest exponent prime factors to calculate the LCM of 93302 and 93308.

LCM(93302,93308) = 22 × 111 × 42411 × 233271
LCM(93302,93308) = 4352911508