What is the Least Common Multiple of 6881 and 6897?
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 6881 and 6897 is 47458257.
LCM(6881,6897) = 47458257
Least Common Multiple of 6881 and 6897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6881 and 6897, than apply into the LCM equation.
GCF(6881,6897) = 1
LCM(6881,6897) = ( 6881 × 6897) / 1
LCM(6881,6897) = 47458257 / 1
LCM(6881,6897) = 47458257
Least Common Multiple (LCM) of 6881 and 6897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6881 and 6897. First we will calculate the prime factors of 6881 and 6897.
Prime Factorization of 6881
Prime factors of 6881 are 7, 983. Prime factorization of 6881 in exponential form is:
6881 = 71 × 9831
Prime Factorization of 6897
Prime factors of 6897 are 3, 11, 19. Prime factorization of 6897 in exponential form is:
6897 = 31 × 112 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 6881 and 6897.
LCM(6881,6897) = 71 × 9831 × 31 × 112 × 191
LCM(6881,6897) = 47458257
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