What is the Least Common Multiple of 60167 and 60174?
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 60167 and 60174 is 3620489058.
LCM(60167,60174) = 3620489058
Least Common Multiple of 60167 and 60174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60167 and 60174, than apply into the LCM equation.
GCF(60167,60174) = 1
LCM(60167,60174) = ( 60167 × 60174) / 1
LCM(60167,60174) = 3620489058 / 1
LCM(60167,60174) = 3620489058
Least Common Multiple (LCM) of 60167 and 60174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60167 and 60174. First we will calculate the prime factors of 60167 and 60174.
Prime Factorization of 60167
Prime factors of 60167 are 60167. Prime factorization of 60167 in exponential form is:
60167 = 601671
Prime Factorization of 60174
Prime factors of 60174 are 2, 3, 3343. Prime factorization of 60174 in exponential form is:
60174 = 21 × 32 × 33431
Now multiplying the highest exponent prime factors to calculate the LCM of 60167 and 60174.
LCM(60167,60174) = 601671 × 21 × 32 × 33431
LCM(60167,60174) = 3620489058
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