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What is the Least Common Multiple of 55025 and 55035?

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 55025 and 55035 is 605660175.

LCM(55025,55035) = 605660175

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Least Common Multiple of 55025 and 55035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55025 and 55035, than apply into the LCM equation.

GCF(55025,55035) = 5
LCM(55025,55035) = ( 55025 × 55035) / 5
LCM(55025,55035) = 3028300875 / 5
LCM(55025,55035) = 605660175

Least Common Multiple (LCM) of 55025 and 55035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55025 and 55035. First we will calculate the prime factors of 55025 and 55035.

Prime Factorization of 55025

Prime factors of 55025 are 5, 31, 71. Prime factorization of 55025 in exponential form is:

55025 = 52 × 311 × 711

Prime Factorization of 55035

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

55035 = 32 × 51 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 55025 and 55035.

LCM(55025,55035) = 52 × 311 × 711 × 32 × 12231
LCM(55025,55035) = 605660175