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What is the Least Common Multiple of 69040 and 69055?

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 69040 and 69055 is 953511440.

LCM(69040,69055) = 953511440

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Least Common Multiple of 69040 and 69055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69040 and 69055, than apply into the LCM equation.

GCF(69040,69055) = 5
LCM(69040,69055) = ( 69040 × 69055) / 5
LCM(69040,69055) = 4767557200 / 5
LCM(69040,69055) = 953511440

Least Common Multiple (LCM) of 69040 and 69055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69040 and 69055. First we will calculate the prime factors of 69040 and 69055.

Prime Factorization of 69040

Prime factors of 69040 are 2, 5, 863. Prime factorization of 69040 in exponential form is:

69040 = 24 × 51 × 8631

Prime Factorization of 69055

Prime factors of 69055 are 5, 7, 1973. Prime factorization of 69055 in exponential form is:

69055 = 51 × 71 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 69040 and 69055.

LCM(69040,69055) = 24 × 51 × 8631 × 71 × 19731
LCM(69040,69055) = 953511440