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What is the Least Common Multiple of 67181 and 67192?

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 67181 and 67192 is 4514025752.

LCM(67181,67192) = 4514025752

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Least Common Multiple of 67181 and 67192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67181 and 67192, than apply into the LCM equation.

GCF(67181,67192) = 1
LCM(67181,67192) = ( 67181 × 67192) / 1
LCM(67181,67192) = 4514025752 / 1
LCM(67181,67192) = 4514025752

Least Common Multiple (LCM) of 67181 and 67192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67181 and 67192. First we will calculate the prime factors of 67181 and 67192.

Prime Factorization of 67181

Prime factors of 67181 are 67181. Prime factorization of 67181 in exponential form is:

67181 = 671811

Prime Factorization of 67192

Prime factors of 67192 are 2, 37, 227. Prime factorization of 67192 in exponential form is:

67192 = 23 × 371 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 67181 and 67192.

LCM(67181,67192) = 671811 × 23 × 371 × 2271
LCM(67181,67192) = 4514025752