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What is the Least Common Multiple of 66225 and 66241?

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 66225 and 66241 is 4386810225.

LCM(66225,66241) = 4386810225

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Least Common Multiple of 66225 and 66241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66225 and 66241, than apply into the LCM equation.

GCF(66225,66241) = 1
LCM(66225,66241) = ( 66225 × 66241) / 1
LCM(66225,66241) = 4386810225 / 1
LCM(66225,66241) = 4386810225

Least Common Multiple (LCM) of 66225 and 66241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66225 and 66241. First we will calculate the prime factors of 66225 and 66241.

Prime Factorization of 66225

Prime factors of 66225 are 3, 5, 883. Prime factorization of 66225 in exponential form is:

66225 = 31 × 52 × 8831

Prime Factorization of 66241

Prime factors of 66241 are 7, 9463. Prime factorization of 66241 in exponential form is:

66241 = 71 × 94631

Now multiplying the highest exponent prime factors to calculate the LCM of 66225 and 66241.

LCM(66225,66241) = 31 × 52 × 8831 × 71 × 94631
LCM(66225,66241) = 4386810225