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What is the Least Common Multiple of 66419 and 66425?

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 66419 and 66425 is 4411882075.

LCM(66419,66425) = 4411882075

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Least Common Multiple of 66419 and 66425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66419 and 66425, than apply into the LCM equation.

GCF(66419,66425) = 1
LCM(66419,66425) = ( 66419 × 66425) / 1
LCM(66419,66425) = 4411882075 / 1
LCM(66419,66425) = 4411882075

Least Common Multiple (LCM) of 66419 and 66425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66419 and 66425. First we will calculate the prime factors of 66419 and 66425.

Prime Factorization of 66419

Prime factors of 66419 are 17, 3907. Prime factorization of 66419 in exponential form is:

66419 = 171 × 39071

Prime Factorization of 66425

Prime factors of 66425 are 5, 2657. Prime factorization of 66425 in exponential form is:

66425 = 52 × 26571

Now multiplying the highest exponent prime factors to calculate the LCM of 66419 and 66425.

LCM(66419,66425) = 171 × 39071 × 52 × 26571
LCM(66419,66425) = 4411882075