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What is the Least Common Multiple of 44471 and 44477?

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 44471 and 44477 is 1977936667.

LCM(44471,44477) = 1977936667

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Least Common Multiple of 44471 and 44477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44471 and 44477, than apply into the LCM equation.

GCF(44471,44477) = 1
LCM(44471,44477) = ( 44471 × 44477) / 1
LCM(44471,44477) = 1977936667 / 1
LCM(44471,44477) = 1977936667

Least Common Multiple (LCM) of 44471 and 44477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44471 and 44477. First we will calculate the prime factors of 44471 and 44477.

Prime Factorization of 44471

Prime factors of 44471 are 7, 6353. Prime factorization of 44471 in exponential form is:

44471 = 71 × 63531

Prime Factorization of 44477

Prime factors of 44477 are 79, 563. Prime factorization of 44477 in exponential form is:

44477 = 791 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 44471 and 44477.

LCM(44471,44477) = 71 × 63531 × 791 × 5631
LCM(44471,44477) = 1977936667