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What is the Least Common Multiple of 57039 and 57046?

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 57039 and 57046 is 3253846794.

LCM(57039,57046) = 3253846794

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Least Common Multiple of 57039 and 57046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57039 and 57046, than apply into the LCM equation.

GCF(57039,57046) = 1
LCM(57039,57046) = ( 57039 × 57046) / 1
LCM(57039,57046) = 3253846794 / 1
LCM(57039,57046) = 3253846794

Least Common Multiple (LCM) of 57039 and 57046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57039 and 57046. First we will calculate the prime factors of 57039 and 57046.

Prime Factorization of 57039

Prime factors of 57039 are 3, 19013. Prime factorization of 57039 in exponential form is:

57039 = 31 × 190131

Prime Factorization of 57046

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

57046 = 21 × 111 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 57039 and 57046.

LCM(57039,57046) = 31 × 190131 × 21 × 111 × 25931
LCM(57039,57046) = 3253846794