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What is the Least Common Multiple of 66019 and 66025?

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 66019 and 66025 is 4358904475.

LCM(66019,66025) = 4358904475

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Least Common Multiple of 66019 and 66025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66019 and 66025, than apply into the LCM equation.

GCF(66019,66025) = 1
LCM(66019,66025) = ( 66019 × 66025) / 1
LCM(66019,66025) = 4358904475 / 1
LCM(66019,66025) = 4358904475

Least Common Multiple (LCM) of 66019 and 66025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66019 and 66025. First we will calculate the prime factors of 66019 and 66025.

Prime Factorization of 66019

Prime factors of 66019 are 107, 617. Prime factorization of 66019 in exponential form is:

66019 = 1071 × 6171

Prime Factorization of 66025

Prime factors of 66025 are 5, 19, 139. Prime factorization of 66025 in exponential form is:

66025 = 52 × 191 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 66019 and 66025.

LCM(66019,66025) = 1071 × 6171 × 52 × 191 × 1391
LCM(66019,66025) = 4358904475