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What is the Least Common Multiple of 55015 and 55026?

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 55015 and 55026 is 3027255390.

LCM(55015,55026) = 3027255390

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Least Common Multiple of 55015 and 55026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55015 and 55026, than apply into the LCM equation.

GCF(55015,55026) = 1
LCM(55015,55026) = ( 55015 × 55026) / 1
LCM(55015,55026) = 3027255390 / 1
LCM(55015,55026) = 3027255390

Least Common Multiple (LCM) of 55015 and 55026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55015 and 55026. First we will calculate the prime factors of 55015 and 55026.

Prime Factorization of 55015

Prime factors of 55015 are 5, 11003. Prime factorization of 55015 in exponential form is:

55015 = 51 × 110031

Prime Factorization of 55026

Prime factors of 55026 are 2, 3, 1019. Prime factorization of 55026 in exponential form is:

55026 = 21 × 33 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 55015 and 55026.

LCM(55015,55026) = 51 × 110031 × 21 × 33 × 10191
LCM(55015,55026) = 3027255390