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What is the Least Common Multiple of 57364 and 57377?

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 57364 and 57377 is 3291374228.

LCM(57364,57377) = 3291374228

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Least Common Multiple of 57364 and 57377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57364 and 57377, than apply into the LCM equation.

GCF(57364,57377) = 1
LCM(57364,57377) = ( 57364 × 57377) / 1
LCM(57364,57377) = 3291374228 / 1
LCM(57364,57377) = 3291374228

Least Common Multiple (LCM) of 57364 and 57377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57364 and 57377. First we will calculate the prime factors of 57364 and 57377.

Prime Factorization of 57364

Prime factors of 57364 are 2, 14341. Prime factorization of 57364 in exponential form is:

57364 = 22 × 143411

Prime Factorization of 57377

Prime factors of 57377 are 181, 317. Prime factorization of 57377 in exponential form is:

57377 = 1811 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 57364 and 57377.

LCM(57364,57377) = 22 × 143411 × 1811 × 3171
LCM(57364,57377) = 3291374228