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What is the Least Common Multiple of 55045 and 55049?

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 55045 and 55049 is 3030172205.

LCM(55045,55049) = 3030172205

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Least Common Multiple of 55045 and 55049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55045 and 55049, than apply into the LCM equation.

GCF(55045,55049) = 1
LCM(55045,55049) = ( 55045 × 55049) / 1
LCM(55045,55049) = 3030172205 / 1
LCM(55045,55049) = 3030172205

Least Common Multiple (LCM) of 55045 and 55049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55045 and 55049. First we will calculate the prime factors of 55045 and 55049.

Prime Factorization of 55045

Prime factors of 55045 are 5, 101, 109. Prime factorization of 55045 in exponential form is:

55045 = 51 × 1011 × 1091

Prime Factorization of 55049

Prime factors of 55049 are 55049. Prime factorization of 55049 in exponential form is:

55049 = 550491

Now multiplying the highest exponent prime factors to calculate the LCM of 55045 and 55049.

LCM(55045,55049) = 51 × 1011 × 1091 × 550491
LCM(55045,55049) = 3030172205