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What is the Least Common Multiple of 67161 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 67161 and 67177 is 4511674497.

LCM(67161,67177) = 4511674497

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Least Common Multiple of 67161 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 67161 and 67177, than apply into the LCM equation.

GCF(67161,67177) = 1
LCM(67161,67177) = ( 67161 × 67177) / 1
LCM(67161,67177) = 4511674497 / 1
LCM(67161,67177) = 4511674497

Least Common Multiple (LCM) of 67161 and 67177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67161 and 67177. First we will calculate the prime factors of 67161 and 67177.

Prime Factorization of 67161

Prime factors of 67161 are 3, 61, 367. Prime factorization of 67161 in exponential form is:

67161 = 31 × 611 × 3671

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 67161 and 67177.

LCM(67161,67177) = 31 × 611 × 3671 × 111 × 311 × 1971
LCM(67161,67177) = 4511674497