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What is the Least Common Multiple of 92185 and 92205?

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 92205 is 1699983585.

LCM(92185,92205) = 1699983585

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Least Common Multiple of 92185 and 92205 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 92205, than apply into the LCM equation.

GCF(92185,92205) = 5
LCM(92185,92205) = ( 92185 × 92205) / 5
LCM(92185,92205) = 8499917925 / 5
LCM(92185,92205) = 1699983585

Least Common Multiple (LCM) of 92185 and 92205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92185 and 92205. First we will calculate the prime factors of 92185 and 92205.

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 92205

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

92205 = 33 × 51 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 92185 and 92205.

LCM(92185,92205) = 51 × 1031 × 1791 × 33 × 6831
LCM(92185,92205) = 1699983585