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What is the Least Common Multiple of 67167 and 67177?

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 67167 and 67177 is 4512077559.

LCM(67167,67177) = 4512077559

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Least Common Multiple of 67167 and 67177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67167 and 67177, than apply into the LCM equation.

GCF(67167,67177) = 1
LCM(67167,67177) = ( 67167 × 67177) / 1
LCM(67167,67177) = 4512077559 / 1
LCM(67167,67177) = 4512077559

Least Common Multiple (LCM) of 67167 and 67177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67167 and 67177. First we will calculate the prime factors of 67167 and 67177.

Prime Factorization of 67167

Prime factors of 67167 are 3, 17, 439. Prime factorization of 67167 in exponential form is:

67167 = 32 × 171 × 4391

Prime Factorization of 67177

Prime factors of 67177 are 11, 31, 197. Prime factorization of 67177 in exponential form is:

67177 = 111 × 311 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 67167 and 67177.

LCM(67167,67177) = 32 × 171 × 4391 × 111 × 311 × 1971
LCM(67167,67177) = 4512077559