What is the Least Common Multiple of 3905 and 3915?
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 3915 is 3057615.
LCM(3905,3915) = 3057615
Least Common Multiple of 3905 and 3915 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 3915, than apply into the LCM equation.
GCF(3905,3915) = 5
LCM(3905,3915) = ( 3905 × 3915) / 5
LCM(3905,3915) = 15288075 / 5
LCM(3905,3915) = 3057615
Least Common Multiple (LCM) of 3905 and 3915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3905 and 3915. First we will calculate the prime factors of 3905 and 3915.
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 3915
Prime factors of 3915 are 3, 5, 29. Prime factorization of 3915 in exponential form is:
3915 = 33 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 3905 and 3915.
LCM(3905,3915) = 51 × 111 × 711 × 33 × 291
LCM(3905,3915) = 3057615
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