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What is the Least Common Multiple of 42227 and 42232?

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 42227 and 42232 is 1783330664.

LCM(42227,42232) = 1783330664

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Least Common Multiple of 42227 and 42232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42227 and 42232, than apply into the LCM equation.

GCF(42227,42232) = 1
LCM(42227,42232) = ( 42227 × 42232) / 1
LCM(42227,42232) = 1783330664 / 1
LCM(42227,42232) = 1783330664

Least Common Multiple (LCM) of 42227 and 42232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42227 and 42232. First we will calculate the prime factors of 42227 and 42232.

Prime Factorization of 42227

Prime factors of 42227 are 42227. Prime factorization of 42227 in exponential form is:

42227 = 422271

Prime Factorization of 42232

Prime factors of 42232 are 2, 5279. Prime factorization of 42232 in exponential form is:

42232 = 23 × 52791

Now multiplying the highest exponent prime factors to calculate the LCM of 42227 and 42232.

LCM(42227,42232) = 422271 × 23 × 52791
LCM(42227,42232) = 1783330664