What is the Least Common Multiple of 397 and 406?
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 397 and 406 is 161182.
LCM(397,406) = 161182
Least Common Multiple of 397 and 406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 406, than apply into the LCM equation.
GCF(397,406) = 1
LCM(397,406) = ( 397 × 406) / 1
LCM(397,406) = 161182 / 1
LCM(397,406) = 161182
Least Common Multiple (LCM) of 397 and 406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 406. First we will calculate the prime factors of 397 and 406.
Prime Factorization of 397
Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:
397 = 3971
Prime Factorization of 406
Prime factors of 406 are 2, 7, 29. Prime factorization of 406 in exponential form is:
406 = 21 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 397 and 406.
LCM(397,406) = 3971 × 21 × 71 × 291
LCM(397,406) = 161182
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