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What is the Least Common Multiple of 57236 and 57249?

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 57236 and 57249 is 3276703764.

LCM(57236,57249) = 3276703764

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Least Common Multiple of 57236 and 57249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57236 and 57249, than apply into the LCM equation.

GCF(57236,57249) = 1
LCM(57236,57249) = ( 57236 × 57249) / 1
LCM(57236,57249) = 3276703764 / 1
LCM(57236,57249) = 3276703764

Least Common Multiple (LCM) of 57236 and 57249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57236 and 57249. First we will calculate the prime factors of 57236 and 57249.

Prime Factorization of 57236

Prime factors of 57236 are 2, 41, 349. Prime factorization of 57236 in exponential form is:

57236 = 22 × 411 × 3491

Prime Factorization of 57249

Prime factors of 57249 are 3, 6361. Prime factorization of 57249 in exponential form is:

57249 = 32 × 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 57236 and 57249.

LCM(57236,57249) = 22 × 411 × 3491 × 32 × 63611
LCM(57236,57249) = 3276703764