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What is the Least Common Multiple of 92185 and 92201?

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 92185 and 92201 is 8499549185.

LCM(92185,92201) = 8499549185

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Least Common Multiple of 92185 and 92201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92185 and 92201, than apply into the LCM equation.

GCF(92185,92201) = 1
LCM(92185,92201) = ( 92185 × 92201) / 1
LCM(92185,92201) = 8499549185 / 1
LCM(92185,92201) = 8499549185

Least Common Multiple (LCM) of 92185 and 92201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92185 and 92201. First we will calculate the prime factors of 92185 and 92201.

Prime Factorization of 92185

Prime factors of 92185 are 5, 103, 179. Prime factorization of 92185 in exponential form is:

92185 = 51 × 1031 × 1791

Prime Factorization of 92201

Prime factors of 92201 are 137, 673. Prime factorization of 92201 in exponential form is:

92201 = 1371 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 92185 and 92201.

LCM(92185,92201) = 51 × 1031 × 1791 × 1371 × 6731
LCM(92185,92201) = 8499549185