What is the Least Common Multiple of 391 and 396?
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 391 and 396 is 154836.
LCM(391,396) = 154836
Least Common Multiple of 391 and 396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 391 and 396, than apply into the LCM equation.
GCF(391,396) = 1
LCM(391,396) = ( 391 × 396) / 1
LCM(391,396) = 154836 / 1
LCM(391,396) = 154836
Least Common Multiple (LCM) of 391 and 396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 396. First we will calculate the prime factors of 391 and 396.
Prime Factorization of 391
Prime factors of 391 are 17, 23. Prime factorization of 391 in exponential form is:
391 = 171 × 231
Prime Factorization of 396
Prime factors of 396 are 2, 3, 11. Prime factorization of 396 in exponential form is:
396 = 22 × 32 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 396.
LCM(391,396) = 171 × 231 × 22 × 32 × 111
LCM(391,396) = 154836
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