What is the Least Common Multiple of 68875 and 68881?
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 68875 and 68881 is 4744178875.
LCM(68875,68881) = 4744178875
Least Common Multiple of 68875 and 68881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68875 and 68881, than apply into the LCM equation.
GCF(68875,68881) = 1
LCM(68875,68881) = ( 68875 × 68881) / 1
LCM(68875,68881) = 4744178875 / 1
LCM(68875,68881) = 4744178875
Least Common Multiple (LCM) of 68875 and 68881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68875 and 68881. First we will calculate the prime factors of 68875 and 68881.
Prime Factorization of 68875
Prime factors of 68875 are 5, 19, 29. Prime factorization of 68875 in exponential form is:
68875 = 53 × 191 × 291
Prime Factorization of 68881
Prime factors of 68881 are 68881. Prime factorization of 68881 in exponential form is:
68881 = 688811
Now multiplying the highest exponent prime factors to calculate the LCM of 68875 and 68881.
LCM(68875,68881) = 53 × 191 × 291 × 688811
LCM(68875,68881) = 4744178875
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