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What is the Least Common Multiple of 92205 and 92220?

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 92205 and 92220 is 566876340.

LCM(92205,92220) = 566876340

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Least Common Multiple of 92205 and 92220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92205 and 92220, than apply into the LCM equation.

GCF(92205,92220) = 15
LCM(92205,92220) = ( 92205 × 92220) / 15
LCM(92205,92220) = 8503145100 / 15
LCM(92205,92220) = 566876340

Least Common Multiple (LCM) of 92205 and 92220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92205 and 92220. First we will calculate the prime factors of 92205 and 92220.

Prime Factorization of 92205

Prime factors of 92205 are 3, 5, 683. Prime factorization of 92205 in exponential form is:

92205 = 33 × 51 × 6831

Prime Factorization of 92220

Prime factors of 92220 are 2, 3, 5, 29, 53. Prime factorization of 92220 in exponential form is:

92220 = 22 × 31 × 51 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 92205 and 92220.

LCM(92205,92220) = 33 × 51 × 6831 × 22 × 291 × 531
LCM(92205,92220) = 566876340