What is the Least Common Multiple of 375 and 395?
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 375 and 395 is 29625.
LCM(375,395) = 29625
Least Common Multiple of 375 and 395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 375 and 395, than apply into the LCM equation.
GCF(375,395) = 5
LCM(375,395) = ( 375 × 395) / 5
LCM(375,395) = 148125 / 5
LCM(375,395) = 29625
Least Common Multiple (LCM) of 375 and 395 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 395. First we will calculate the prime factors of 375 and 395.
Prime Factorization of 375
Prime factors of 375 are 3, 5. Prime factorization of 375 in exponential form is:
375 = 31 × 53
Prime Factorization of 395
Prime factors of 395 are 5, 79. Prime factorization of 395 in exponential form is:
395 = 51 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 395.
LCM(375,395) = 31 × 53 × 791
LCM(375,395) = 29625
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