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What is the Least Common Multiple of 57363 and 57376?

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 57363 and 57376 is 3291259488.

LCM(57363,57376) = 3291259488

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Least Common Multiple of 57363 and 57376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57363 and 57376, than apply into the LCM equation.

GCF(57363,57376) = 1
LCM(57363,57376) = ( 57363 × 57376) / 1
LCM(57363,57376) = 3291259488 / 1
LCM(57363,57376) = 3291259488

Least Common Multiple (LCM) of 57363 and 57376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57363 and 57376. First we will calculate the prime factors of 57363 and 57376.

Prime Factorization of 57363

Prime factors of 57363 are 3, 19121. Prime factorization of 57363 in exponential form is:

57363 = 31 × 191211

Prime Factorization of 57376

Prime factors of 57376 are 2, 11, 163. Prime factorization of 57376 in exponential form is:

57376 = 25 × 111 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 57363 and 57376.

LCM(57363,57376) = 31 × 191211 × 25 × 111 × 1631
LCM(57363,57376) = 3291259488