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What is the Least Common Multiple of 44242 and 44247?

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 44242 and 44247 is 1957575774.

LCM(44242,44247) = 1957575774

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Least Common Multiple of 44242 and 44247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44242 and 44247, than apply into the LCM equation.

GCF(44242,44247) = 1
LCM(44242,44247) = ( 44242 × 44247) / 1
LCM(44242,44247) = 1957575774 / 1
LCM(44242,44247) = 1957575774

Least Common Multiple (LCM) of 44242 and 44247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44242 and 44247. First we will calculate the prime factors of 44242 and 44247.

Prime Factorization of 44242

Prime factors of 44242 are 2, 11, 2011. Prime factorization of 44242 in exponential form is:

44242 = 21 × 111 × 20111

Prime Factorization of 44247

Prime factors of 44247 are 3, 7, 43. Prime factorization of 44247 in exponential form is:

44247 = 31 × 73 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 44242 and 44247.

LCM(44242,44247) = 21 × 111 × 20111 × 31 × 73 × 431
LCM(44242,44247) = 1957575774