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What is the Least Common Multiple of 66207 and 66225?

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 66207 and 66225 is 1461519525.

LCM(66207,66225) = 1461519525

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Least Common Multiple of 66207 and 66225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66207 and 66225, than apply into the LCM equation.

GCF(66207,66225) = 3
LCM(66207,66225) = ( 66207 × 66225) / 3
LCM(66207,66225) = 4384558575 / 3
LCM(66207,66225) = 1461519525

Least Common Multiple (LCM) of 66207 and 66225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66207 and 66225. First we will calculate the prime factors of 66207 and 66225.

Prime Factorization of 66207

Prime factors of 66207 are 3, 29, 761. Prime factorization of 66207 in exponential form is:

66207 = 31 × 291 × 7611

Prime Factorization of 66225

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

66225 = 31 × 52 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 66207 and 66225.

LCM(66207,66225) = 31 × 291 × 7611 × 52 × 8831
LCM(66207,66225) = 1461519525