What is the Least Common Multiple of 68883 and 68887?
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 68883 and 68887 is 4745143221.
LCM(68883,68887) = 4745143221
Least Common Multiple of 68883 and 68887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68883 and 68887, than apply into the LCM equation.
GCF(68883,68887) = 1
LCM(68883,68887) = ( 68883 × 68887) / 1
LCM(68883,68887) = 4745143221 / 1
LCM(68883,68887) = 4745143221
Least Common Multiple (LCM) of 68883 and 68887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68883 and 68887. First we will calculate the prime factors of 68883 and 68887.
Prime Factorization of 68883
Prime factors of 68883 are 3, 22961. Prime factorization of 68883 in exponential form is:
68883 = 31 × 229611
Prime Factorization of 68887
Prime factors of 68887 are 7, 13, 757. Prime factorization of 68887 in exponential form is:
68887 = 71 × 131 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 68883 and 68887.
LCM(68883,68887) = 31 × 229611 × 71 × 131 × 7571
LCM(68883,68887) = 4745143221
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