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What is the Least Common Multiple of 92188 and 92200?

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 92188 and 92200 is 2124933400.

LCM(92188,92200) = 2124933400

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Least Common Multiple of 92188 and 92200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92188 and 92200, than apply into the LCM equation.

GCF(92188,92200) = 4
LCM(92188,92200) = ( 92188 × 92200) / 4
LCM(92188,92200) = 8499733600 / 4
LCM(92188,92200) = 2124933400

Least Common Multiple (LCM) of 92188 and 92200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92188 and 92200. First we will calculate the prime factors of 92188 and 92200.

Prime Factorization of 92188

Prime factors of 92188 are 2, 19, 1213. Prime factorization of 92188 in exponential form is:

92188 = 22 × 191 × 12131

Prime Factorization of 92200

Prime factors of 92200 are 2, 5, 461. Prime factorization of 92200 in exponential form is:

92200 = 23 × 52 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 92188 and 92200.

LCM(92188,92200) = 23 × 191 × 12131 × 52 × 4611
LCM(92188,92200) = 2124933400