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What is the Least Common Multiple of 66705 and 66725?

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 66705 and 66725 is 890178225.

LCM(66705,66725) = 890178225

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Least Common Multiple of 66705 and 66725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66705 and 66725, than apply into the LCM equation.

GCF(66705,66725) = 5
LCM(66705,66725) = ( 66705 × 66725) / 5
LCM(66705,66725) = 4450891125 / 5
LCM(66705,66725) = 890178225

Least Common Multiple (LCM) of 66705 and 66725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66705 and 66725. First we will calculate the prime factors of 66705 and 66725.

Prime Factorization of 66705

Prime factors of 66705 are 3, 5, 4447. Prime factorization of 66705 in exponential form is:

66705 = 31 × 51 × 44471

Prime Factorization of 66725

Prime factors of 66725 are 5, 17, 157. Prime factorization of 66725 in exponential form is:

66725 = 52 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 66705 and 66725.

LCM(66705,66725) = 31 × 52 × 44471 × 171 × 1571
LCM(66705,66725) = 890178225