What is the Least Common Multiple of 3905 and 3917?
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 3905 and 3917 is 15295885.
LCM(3905,3917) = 15295885
Least Common Multiple of 3905 and 3917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3905 and 3917, than apply into the LCM equation.
GCF(3905,3917) = 1
LCM(3905,3917) = ( 3905 × 3917) / 1
LCM(3905,3917) = 15295885 / 1
LCM(3905,3917) = 15295885
Least Common Multiple (LCM) of 3905 and 3917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3905 and 3917. First we will calculate the prime factors of 3905 and 3917.
Prime Factorization of 3905
Prime factors of 3905 are 5, 11, 71. Prime factorization of 3905 in exponential form is:
3905 = 51 × 111 × 711
Prime Factorization of 3917
Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:
3917 = 39171
Now multiplying the highest exponent prime factors to calculate the LCM of 3905 and 3917.
LCM(3905,3917) = 51 × 111 × 711 × 39171
LCM(3905,3917) = 15295885
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