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What is the Least Common Multiple of 92214 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 92214 and 92225 is 8504436150.

LCM(92214,92225) = 8504436150

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Least Common Multiple of 92214 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 92214 and 92225, than apply into the LCM equation.

GCF(92214,92225) = 1
LCM(92214,92225) = ( 92214 × 92225) / 1
LCM(92214,92225) = 8504436150 / 1
LCM(92214,92225) = 8504436150

Least Common Multiple (LCM) of 92214 and 92225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92214 and 92225. First we will calculate the prime factors of 92214 and 92225.

Prime Factorization of 92214

Prime factors of 92214 are 2, 3, 47, 109. Prime factorization of 92214 in exponential form is:

92214 = 21 × 32 × 471 × 1091

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 92214 and 92225.

LCM(92214,92225) = 21 × 32 × 471 × 1091 × 52 × 71 × 171 × 311
LCM(92214,92225) = 8504436150