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What is the Least Common Multiple of 55035 and 55047?

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 55035 and 55047 is 1009837215.

LCM(55035,55047) = 1009837215

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Least Common Multiple of 55035 and 55047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55035 and 55047, than apply into the LCM equation.

GCF(55035,55047) = 3
LCM(55035,55047) = ( 55035 × 55047) / 3
LCM(55035,55047) = 3029511645 / 3
LCM(55035,55047) = 1009837215

Least Common Multiple (LCM) of 55035 and 55047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55035 and 55047. First we will calculate the prime factors of 55035 and 55047.

Prime Factorization of 55035

Prime factors of 55035 are 3, 5, 1223. Prime factorization of 55035 in exponential form is:

55035 = 32 × 51 × 12231

Prime Factorization of 55047

Prime factors of 55047 are 3, 59, 311. Prime factorization of 55047 in exponential form is:

55047 = 31 × 591 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 55035 and 55047.

LCM(55035,55047) = 32 × 51 × 12231 × 591 × 3111
LCM(55035,55047) = 1009837215