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What is the Least Common Multiple of 44522 and 44537?

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 44522 and 44537 is 1982876314.

LCM(44522,44537) = 1982876314

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Least Common Multiple of 44522 and 44537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44522 and 44537, than apply into the LCM equation.

GCF(44522,44537) = 1
LCM(44522,44537) = ( 44522 × 44537) / 1
LCM(44522,44537) = 1982876314 / 1
LCM(44522,44537) = 1982876314

Least Common Multiple (LCM) of 44522 and 44537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44522 and 44537. First we will calculate the prime factors of 44522 and 44537.

Prime Factorization of 44522

Prime factors of 44522 are 2, 113, 197. Prime factorization of 44522 in exponential form is:

44522 = 21 × 1131 × 1971

Prime Factorization of 44537

Prime factors of 44537 are 44537. Prime factorization of 44537 in exponential form is:

44537 = 445371

Now multiplying the highest exponent prime factors to calculate the LCM of 44522 and 44537.

LCM(44522,44537) = 21 × 1131 × 1971 × 445371
LCM(44522,44537) = 1982876314