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What is the Least Common Multiple of 44941 and 44956?

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 44941 and 44956 is 2020367596.

LCM(44941,44956) = 2020367596

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Least Common Multiple of 44941 and 44956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44941 and 44956, than apply into the LCM equation.

GCF(44941,44956) = 1
LCM(44941,44956) = ( 44941 × 44956) / 1
LCM(44941,44956) = 2020367596 / 1
LCM(44941,44956) = 2020367596

Least Common Multiple (LCM) of 44941 and 44956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44941 and 44956. First we will calculate the prime factors of 44941 and 44956.

Prime Factorization of 44941

Prime factors of 44941 are 13, 3457. Prime factorization of 44941 in exponential form is:

44941 = 131 × 34571

Prime Factorization of 44956

Prime factors of 44956 are 2, 11239. Prime factorization of 44956 in exponential form is:

44956 = 22 × 112391

Now multiplying the highest exponent prime factors to calculate the LCM of 44941 and 44956.

LCM(44941,44956) = 131 × 34571 × 22 × 112391
LCM(44941,44956) = 2020367596