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What is the Least Common Multiple of 42637 and 42655?

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 42637 and 42655 is 1818681235.

LCM(42637,42655) = 1818681235

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Least Common Multiple of 42637 and 42655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42637 and 42655, than apply into the LCM equation.

GCF(42637,42655) = 1
LCM(42637,42655) = ( 42637 × 42655) / 1
LCM(42637,42655) = 1818681235 / 1
LCM(42637,42655) = 1818681235

Least Common Multiple (LCM) of 42637 and 42655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42637 and 42655. First we will calculate the prime factors of 42637 and 42655.

Prime Factorization of 42637

Prime factors of 42637 are 7, 6091. Prime factorization of 42637 in exponential form is:

42637 = 71 × 60911

Prime Factorization of 42655

Prime factors of 42655 are 5, 19, 449. Prime factorization of 42655 in exponential form is:

42655 = 51 × 191 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 42637 and 42655.

LCM(42637,42655) = 71 × 60911 × 51 × 191 × 4491
LCM(42637,42655) = 1818681235