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What is the Least Common Multiple of 92180 and 92192?

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 92180 and 92192 is 2124564640.

LCM(92180,92192) = 2124564640

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Least Common Multiple of 92180 and 92192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92180 and 92192, than apply into the LCM equation.

GCF(92180,92192) = 4
LCM(92180,92192) = ( 92180 × 92192) / 4
LCM(92180,92192) = 8498258560 / 4
LCM(92180,92192) = 2124564640

Least Common Multiple (LCM) of 92180 and 92192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92180 and 92192. First we will calculate the prime factors of 92180 and 92192.

Prime Factorization of 92180

Prime factors of 92180 are 2, 5, 11, 419. Prime factorization of 92180 in exponential form is:

92180 = 22 × 51 × 111 × 4191

Prime Factorization of 92192

Prime factors of 92192 are 2, 43, 67. Prime factorization of 92192 in exponential form is:

92192 = 25 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 92180 and 92192.

LCM(92180,92192) = 25 × 51 × 111 × 4191 × 431 × 671
LCM(92180,92192) = 2124564640