What is the Least Common Multiple of 6809 and 6818?
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 6809 and 6818 is 46423762.
LCM(6809,6818) = 46423762
Least Common Multiple of 6809 and 6818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6809 and 6818, than apply into the LCM equation.
GCF(6809,6818) = 1
LCM(6809,6818) = ( 6809 × 6818) / 1
LCM(6809,6818) = 46423762 / 1
LCM(6809,6818) = 46423762
Least Common Multiple (LCM) of 6809 and 6818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6809 and 6818. First we will calculate the prime factors of 6809 and 6818.
Prime Factorization of 6809
Prime factors of 6809 are 11, 619. Prime factorization of 6809 in exponential form is:
6809 = 111 × 6191
Prime Factorization of 6818
Prime factors of 6818 are 2, 7, 487. Prime factorization of 6818 in exponential form is:
6818 = 21 × 71 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 6809 and 6818.
LCM(6809,6818) = 111 × 6191 × 21 × 71 × 4871
LCM(6809,6818) = 46423762
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