What is the Least Common Multiple of 389 and 408?
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 389 and 408 is 158712.
LCM(389,408) = 158712
Least Common Multiple of 389 and 408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 389 and 408, than apply into the LCM equation.
GCF(389,408) = 1
LCM(389,408) = ( 389 × 408) / 1
LCM(389,408) = 158712 / 1
LCM(389,408) = 158712
Least Common Multiple (LCM) of 389 and 408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 389 and 408. First we will calculate the prime factors of 389 and 408.
Prime Factorization of 389
Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:
389 = 3891
Prime Factorization of 408
Prime factors of 408 are 2, 3, 17. Prime factorization of 408 in exponential form is:
408 = 23 × 31 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 389 and 408.
LCM(389,408) = 3891 × 23 × 31 × 171
LCM(389,408) = 158712
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