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What is the Least Common Multiple of 92207 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 92207 and 92220 is 8503329540.

LCM(92207,92220) = 8503329540

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Least Common Multiple of 92207 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 92207 and 92220, than apply into the LCM equation.

GCF(92207,92220) = 1
LCM(92207,92220) = ( 92207 × 92220) / 1
LCM(92207,92220) = 8503329540 / 1
LCM(92207,92220) = 8503329540

Least Common Multiple (LCM) of 92207 and 92220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92207 and 92220. First we will calculate the prime factors of 92207 and 92220.

Prime Factorization of 92207

Prime factors of 92207 are 19, 23, 211. Prime factorization of 92207 in exponential form is:

92207 = 191 × 231 × 2111

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 92207 and 92220.

LCM(92207,92220) = 191 × 231 × 2111 × 22 × 31 × 51 × 291 × 531
LCM(92207,92220) = 8503329540