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What is the Least Common Multiple of 57304 and 57308?

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 57304 and 57308 is 820994408.

LCM(57304,57308) = 820994408

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Least Common Multiple of 57304 and 57308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57304 and 57308, than apply into the LCM equation.

GCF(57304,57308) = 4
LCM(57304,57308) = ( 57304 × 57308) / 4
LCM(57304,57308) = 3283977632 / 4
LCM(57304,57308) = 820994408

Least Common Multiple (LCM) of 57304 and 57308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57304 and 57308. First we will calculate the prime factors of 57304 and 57308.

Prime Factorization of 57304

Prime factors of 57304 are 2, 13, 19, 29. Prime factorization of 57304 in exponential form is:

57304 = 23 × 131 × 191 × 291

Prime Factorization of 57308

Prime factors of 57308 are 2, 14327. Prime factorization of 57308 in exponential form is:

57308 = 22 × 143271

Now multiplying the highest exponent prime factors to calculate the LCM of 57304 and 57308.

LCM(57304,57308) = 23 × 131 × 191 × 291 × 143271
LCM(57304,57308) = 820994408