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What is the Least Common Multiple of 55509 and 55523?

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 55509 and 55523 is 3082026207.

LCM(55509,55523) = 3082026207

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Least Common Multiple of 55509 and 55523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55509 and 55523, than apply into the LCM equation.

GCF(55509,55523) = 1
LCM(55509,55523) = ( 55509 × 55523) / 1
LCM(55509,55523) = 3082026207 / 1
LCM(55509,55523) = 3082026207

Least Common Multiple (LCM) of 55509 and 55523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55509 and 55523. First we will calculate the prime factors of 55509 and 55523.

Prime Factorization of 55509

Prime factors of 55509 are 3, 18503. Prime factorization of 55509 in exponential form is:

55509 = 31 × 185031

Prime Factorization of 55523

Prime factors of 55523 are 13, 4271. Prime factorization of 55523 in exponential form is:

55523 = 131 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 55509 and 55523.

LCM(55509,55523) = 31 × 185031 × 131 × 42711
LCM(55509,55523) = 3082026207