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What is the Least Common Multiple of 40544 and 40550?

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 40544 and 40550 is 822029600.

LCM(40544,40550) = 822029600

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Least Common Multiple of 40544 and 40550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40544 and 40550, than apply into the LCM equation.

GCF(40544,40550) = 2
LCM(40544,40550) = ( 40544 × 40550) / 2
LCM(40544,40550) = 1644059200 / 2
LCM(40544,40550) = 822029600

Least Common Multiple (LCM) of 40544 and 40550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40544 and 40550. First we will calculate the prime factors of 40544 and 40550.

Prime Factorization of 40544

Prime factors of 40544 are 2, 7, 181. Prime factorization of 40544 in exponential form is:

40544 = 25 × 71 × 1811

Prime Factorization of 40550

Prime factors of 40550 are 2, 5, 811. Prime factorization of 40550 in exponential form is:

40550 = 21 × 52 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 40544 and 40550.

LCM(40544,40550) = 25 × 71 × 1811 × 52 × 8111
LCM(40544,40550) = 822029600