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What is the Least Common Multiple of 55533 and 55553?

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 55533 and 55553 is 3085024749.

LCM(55533,55553) = 3085024749

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Least Common Multiple of 55533 and 55553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55533 and 55553, than apply into the LCM equation.

GCF(55533,55553) = 1
LCM(55533,55553) = ( 55533 × 55553) / 1
LCM(55533,55553) = 3085024749 / 1
LCM(55533,55553) = 3085024749

Least Common Multiple (LCM) of 55533 and 55553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55533 and 55553. First we will calculate the prime factors of 55533 and 55553.

Prime Factorization of 55533

Prime factors of 55533 are 3, 107, 173. Prime factorization of 55533 in exponential form is:

55533 = 31 × 1071 × 1731

Prime Factorization of 55553

Prime factors of 55553 are 73, 761. Prime factorization of 55553 in exponential form is:

55553 = 731 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 55533 and 55553.

LCM(55533,55553) = 31 × 1071 × 1731 × 731 × 7611
LCM(55533,55553) = 3085024749