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What is the Least Common Multiple of 57032 and 57038?

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 57032 and 57038 is 1626495608.

LCM(57032,57038) = 1626495608

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Least Common Multiple of 57032 and 57038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57032 and 57038, than apply into the LCM equation.

GCF(57032,57038) = 2
LCM(57032,57038) = ( 57032 × 57038) / 2
LCM(57032,57038) = 3252991216 / 2
LCM(57032,57038) = 1626495608

Least Common Multiple (LCM) of 57032 and 57038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57032 and 57038. First we will calculate the prime factors of 57032 and 57038.

Prime Factorization of 57032

Prime factors of 57032 are 2, 7129. Prime factorization of 57032 in exponential form is:

57032 = 23 × 71291

Prime Factorization of 57038

Prime factors of 57038 are 2, 19, 79. Prime factorization of 57038 in exponential form is:

57038 = 21 × 192 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 57032 and 57038.

LCM(57032,57038) = 23 × 71291 × 192 × 791
LCM(57032,57038) = 1626495608