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What is the Least Common Multiple of 92216 and 92225?

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 92216 and 92225 is 8504620600.

LCM(92216,92225) = 8504620600

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Least Common Multiple of 92216 and 92225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92216 and 92225, than apply into the LCM equation.

GCF(92216,92225) = 1
LCM(92216,92225) = ( 92216 × 92225) / 1
LCM(92216,92225) = 8504620600 / 1
LCM(92216,92225) = 8504620600

Least Common Multiple (LCM) of 92216 and 92225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92216 and 92225. First we will calculate the prime factors of 92216 and 92225.

Prime Factorization of 92216

Prime factors of 92216 are 2, 11527. Prime factorization of 92216 in exponential form is:

92216 = 23 × 115271

Prime Factorization of 92225

Prime factors of 92225 are 5, 7, 17, 31. Prime factorization of 92225 in exponential form is:

92225 = 52 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 92216 and 92225.

LCM(92216,92225) = 23 × 115271 × 52 × 71 × 171 × 311
LCM(92216,92225) = 8504620600