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What is the Least Common Multiple of 42617 and 42625?

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 42617 and 42625 is 1816549625.

LCM(42617,42625) = 1816549625

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Least Common Multiple of 42617 and 42625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42617 and 42625, than apply into the LCM equation.

GCF(42617,42625) = 1
LCM(42617,42625) = ( 42617 × 42625) / 1
LCM(42617,42625) = 1816549625 / 1
LCM(42617,42625) = 1816549625

Least Common Multiple (LCM) of 42617 and 42625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42617 and 42625. First we will calculate the prime factors of 42617 and 42625.

Prime Factorization of 42617

Prime factors of 42617 are 19, 2243. Prime factorization of 42617 in exponential form is:

42617 = 191 × 22431

Prime Factorization of 42625

Prime factors of 42625 are 5, 11, 31. Prime factorization of 42625 in exponential form is:

42625 = 53 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 42617 and 42625.

LCM(42617,42625) = 191 × 22431 × 53 × 111 × 311
LCM(42617,42625) = 1816549625