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What is the Least Common Multiple of 57087 and 57091?

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 57087 and 57091 is 3259153917.

LCM(57087,57091) = 3259153917

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Least Common Multiple of 57087 and 57091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57087 and 57091, than apply into the LCM equation.

GCF(57087,57091) = 1
LCM(57087,57091) = ( 57087 × 57091) / 1
LCM(57087,57091) = 3259153917 / 1
LCM(57087,57091) = 3259153917

Least Common Multiple (LCM) of 57087 and 57091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57087 and 57091. First we will calculate the prime factors of 57087 and 57091.

Prime Factorization of 57087

Prime factors of 57087 are 3, 6343. Prime factorization of 57087 in exponential form is:

57087 = 32 × 63431

Prime Factorization of 57091

Prime factors of 57091 are 37, 1543. Prime factorization of 57091 in exponential form is:

57091 = 371 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 57087 and 57091.

LCM(57087,57091) = 32 × 63431 × 371 × 15431
LCM(57087,57091) = 3259153917