What is the Least Common Multiple of 62867 and 62881?
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 62867 and 62881 is 564734261.
LCM(62867,62881) = 564734261
Least Common Multiple of 62867 and 62881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62867 and 62881, than apply into the LCM equation.
GCF(62867,62881) = 7
LCM(62867,62881) = ( 62867 × 62881) / 7
LCM(62867,62881) = 3953139827 / 7
LCM(62867,62881) = 564734261
Least Common Multiple (LCM) of 62867 and 62881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62867 and 62881. First we will calculate the prime factors of 62867 and 62881.
Prime Factorization of 62867
Prime factors of 62867 are 7, 1283. Prime factorization of 62867 in exponential form is:
62867 = 72 × 12831
Prime Factorization of 62881
Prime factors of 62881 are 7, 13, 691. Prime factorization of 62881 in exponential form is:
62881 = 71 × 131 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 62867 and 62881.
LCM(62867,62881) = 72 × 12831 × 131 × 6911
LCM(62867,62881) = 564734261
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