What is the Least Common Multiple of 67116 and 67127?
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 67116 and 67127 is 4505295732.
LCM(67116,67127) = 4505295732
Least Common Multiple of 67116 and 67127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67116 and 67127, than apply into the LCM equation.
GCF(67116,67127) = 1
LCM(67116,67127) = ( 67116 × 67127) / 1
LCM(67116,67127) = 4505295732 / 1
LCM(67116,67127) = 4505295732
Least Common Multiple (LCM) of 67116 and 67127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67116 and 67127. First we will calculate the prime factors of 67116 and 67127.
Prime Factorization of 67116
Prime factors of 67116 are 2, 3, 7, 17, 47. Prime factorization of 67116 in exponential form is:
67116 = 22 × 31 × 71 × 171 × 471
Prime Factorization of 67127
Prime factors of 67127 are 19, 3533. Prime factorization of 67127 in exponential form is:
67127 = 191 × 35331
Now multiplying the highest exponent prime factors to calculate the LCM of 67116 and 67127.
LCM(67116,67127) = 22 × 31 × 71 × 171 × 471 × 191 × 35331
LCM(67116,67127) = 4505295732
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