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What is the Least Common Multiple of 57049 and 57064?

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 57049 and 57064 is 3255444136.

LCM(57049,57064) = 3255444136

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Least Common Multiple of 57049 and 57064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57049 and 57064, than apply into the LCM equation.

GCF(57049,57064) = 1
LCM(57049,57064) = ( 57049 × 57064) / 1
LCM(57049,57064) = 3255444136 / 1
LCM(57049,57064) = 3255444136

Least Common Multiple (LCM) of 57049 and 57064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57049 and 57064. First we will calculate the prime factors of 57049 and 57064.

Prime Factorization of 57049

Prime factors of 57049 are 89, 641. Prime factorization of 57049 in exponential form is:

57049 = 891 × 6411

Prime Factorization of 57064

Prime factors of 57064 are 2, 7, 1019. Prime factorization of 57064 in exponential form is:

57064 = 23 × 71 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 57049 and 57064.

LCM(57049,57064) = 891 × 6411 × 23 × 71 × 10191
LCM(57049,57064) = 3255444136