What is the Least Common Multiple of 3911 and 3927?
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 3911 and 3927 is 15358497.
LCM(3911,3927) = 15358497
Least Common Multiple of 3911 and 3927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3911 and 3927, than apply into the LCM equation.
GCF(3911,3927) = 1
LCM(3911,3927) = ( 3911 × 3927) / 1
LCM(3911,3927) = 15358497 / 1
LCM(3911,3927) = 15358497
Least Common Multiple (LCM) of 3911 and 3927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3911 and 3927. First we will calculate the prime factors of 3911 and 3927.
Prime Factorization of 3911
Prime factors of 3911 are 3911. Prime factorization of 3911 in exponential form is:
3911 = 39111
Prime Factorization of 3927
Prime factors of 3927 are 3, 7, 11, 17. Prime factorization of 3927 in exponential form is:
3927 = 31 × 71 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 3911 and 3927.
LCM(3911,3927) = 39111 × 31 × 71 × 111 × 171
LCM(3911,3927) = 15358497
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