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What is the Least Common Multiple of 65544 and 65550?

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 65544 and 65550 is 716068200.

LCM(65544,65550) = 716068200

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Least Common Multiple of 65544 and 65550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65544 and 65550, than apply into the LCM equation.

GCF(65544,65550) = 6
LCM(65544,65550) = ( 65544 × 65550) / 6
LCM(65544,65550) = 4296409200 / 6
LCM(65544,65550) = 716068200

Least Common Multiple (LCM) of 65544 and 65550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65544 and 65550. First we will calculate the prime factors of 65544 and 65550.

Prime Factorization of 65544

Prime factors of 65544 are 2, 3, 2731. Prime factorization of 65544 in exponential form is:

65544 = 23 × 31 × 27311

Prime Factorization of 65550

Prime factors of 65550 are 2, 3, 5, 19, 23. Prime factorization of 65550 in exponential form is:

65550 = 21 × 31 × 52 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 65544 and 65550.

LCM(65544,65550) = 23 × 31 × 27311 × 52 × 191 × 231
LCM(65544,65550) = 716068200