What is the Least Common Multiple of 397 and 404?
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 404 is 160388.
LCM(397,404) = 160388
Least Common Multiple of 397 and 404 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 404, than apply into the LCM equation.
GCF(397,404) = 1
LCM(397,404) = ( 397 × 404) / 1
LCM(397,404) = 160388 / 1
LCM(397,404) = 160388
Least Common Multiple (LCM) of 397 and 404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 404. First we will calculate the prime factors of 397 and 404.
Prime Factorization of 397
Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:
397 = 3971
Prime Factorization of 404
Prime factors of 404 are 2, 101. Prime factorization of 404 in exponential form is:
404 = 22 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 397 and 404.
LCM(397,404) = 3971 × 22 × 1011
LCM(397,404) = 160388
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Related Least Common Multiples of 404
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