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What is the Least Common Multiple of 44737 and 44753?

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 44737 and 44753 is 2002114961.

LCM(44737,44753) = 2002114961

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Least Common Multiple of 44737 and 44753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44737 and 44753, than apply into the LCM equation.

GCF(44737,44753) = 1
LCM(44737,44753) = ( 44737 × 44753) / 1
LCM(44737,44753) = 2002114961 / 1
LCM(44737,44753) = 2002114961

Least Common Multiple (LCM) of 44737 and 44753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44737 and 44753. First we will calculate the prime factors of 44737 and 44753.

Prime Factorization of 44737

Prime factors of 44737 are 7, 11, 83. Prime factorization of 44737 in exponential form is:

44737 = 72 × 111 × 831

Prime Factorization of 44753

Prime factors of 44753 are 44753. Prime factorization of 44753 in exponential form is:

44753 = 447531

Now multiplying the highest exponent prime factors to calculate the LCM of 44737 and 44753.

LCM(44737,44753) = 72 × 111 × 831 × 447531
LCM(44737,44753) = 2002114961