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What is the Least Common Multiple of 44780 and 44787?

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 44780 and 44787 is 2005561860.

LCM(44780,44787) = 2005561860

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Least Common Multiple of 44780 and 44787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44780 and 44787, than apply into the LCM equation.

GCF(44780,44787) = 1
LCM(44780,44787) = ( 44780 × 44787) / 1
LCM(44780,44787) = 2005561860 / 1
LCM(44780,44787) = 2005561860

Least Common Multiple (LCM) of 44780 and 44787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44780 and 44787. First we will calculate the prime factors of 44780 and 44787.

Prime Factorization of 44780

Prime factors of 44780 are 2, 5, 2239. Prime factorization of 44780 in exponential form is:

44780 = 22 × 51 × 22391

Prime Factorization of 44787

Prime factors of 44787 are 3, 14929. Prime factorization of 44787 in exponential form is:

44787 = 31 × 149291

Now multiplying the highest exponent prime factors to calculate the LCM of 44780 and 44787.

LCM(44780,44787) = 22 × 51 × 22391 × 31 × 149291
LCM(44780,44787) = 2005561860