What is the Least Common Multiple of 1395 and 1409?
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 1395 and 1409 is 1965555.
LCM(1395,1409) = 1965555
Least Common Multiple of 1395 and 1409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1395 and 1409, than apply into the LCM equation.
GCF(1395,1409) = 1
LCM(1395,1409) = ( 1395 × 1409) / 1
LCM(1395,1409) = 1965555 / 1
LCM(1395,1409) = 1965555
Least Common Multiple (LCM) of 1395 and 1409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1395 and 1409. First we will calculate the prime factors of 1395 and 1409.
Prime Factorization of 1395
Prime factors of 1395 are 3, 5, 31. Prime factorization of 1395 in exponential form is:
1395 = 32 × 51 × 311
Prime Factorization of 1409
Prime factors of 1409 are 1409. Prime factorization of 1409 in exponential form is:
1409 = 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 1395 and 1409.
LCM(1395,1409) = 32 × 51 × 311 × 14091
LCM(1395,1409) = 1965555
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