What is the Least Common Multiple of 92162 and 92181?
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 92162 and 92181 is 8495585322.
LCM(92162,92181) = 8495585322
Least Common Multiple of 92162 and 92181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92162 and 92181, than apply into the LCM equation.
GCF(92162,92181) = 1
LCM(92162,92181) = ( 92162 × 92181) / 1
LCM(92162,92181) = 8495585322 / 1
LCM(92162,92181) = 8495585322
Least Common Multiple (LCM) of 92162 and 92181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92162 and 92181. First we will calculate the prime factors of 92162 and 92181.
Prime Factorization of 92162
Prime factors of 92162 are 2, 7, 29, 227. Prime factorization of 92162 in exponential form is:
92162 = 21 × 71 × 291 × 2271
Prime Factorization of 92181
Prime factors of 92181 are 3, 30727. Prime factorization of 92181 in exponential form is:
92181 = 31 × 307271
Now multiplying the highest exponent prime factors to calculate the LCM of 92162 and 92181.
LCM(92162,92181) = 21 × 71 × 291 × 2271 × 31 × 307271
LCM(92162,92181) = 8495585322
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