What is the Least Common Multiple of 67167 and 67171?
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 67171 is 4511674557.
LCM(67167,67171) = 4511674557
Least Common Multiple of 67167 and 67171 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 67171, than apply into the LCM equation.
GCF(67167,67171) = 1
LCM(67167,67171) = ( 67167 × 67171) / 1
LCM(67167,67171) = 4511674557 / 1
LCM(67167,67171) = 4511674557
Least Common Multiple (LCM) of 67167 and 67171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67167 and 67171. First we will calculate the prime factors of 67167 and 67171.
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 67171
Prime factors of 67171 are 13, 5167. Prime factorization of 67171 in exponential form is:
67171 = 131 × 51671
Now multiplying the highest exponent prime factors to calculate the LCM of 67167 and 67171.
LCM(67167,67171) = 32 × 171 × 4391 × 131 × 51671
LCM(67167,67171) = 4511674557
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