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What is the Least Common Multiple of 57046 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 57046 and 57064 is 1627636472.

LCM(57046,57064) = 1627636472

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Least Common Multiple of 57046 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 57046 and 57064, than apply into the LCM equation.

GCF(57046,57064) = 2
LCM(57046,57064) = ( 57046 × 57064) / 2
LCM(57046,57064) = 3255272944 / 2
LCM(57046,57064) = 1627636472

Least Common Multiple (LCM) of 57046 and 57064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57046 and 57064. First we will calculate the prime factors of 57046 and 57064.

Prime Factorization of 57046

Prime factors of 57046 are 2, 11, 2593. Prime factorization of 57046 in exponential form is:

57046 = 21 × 111 × 25931

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 57046 and 57064.

LCM(57046,57064) = 23 × 111 × 25931 × 71 × 10191
LCM(57046,57064) = 1627636472