What is the Least Common Multiple of 3916 and 3936?
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 3916 and 3936 is 3853344.
LCM(3916,3936) = 3853344
Least Common Multiple of 3916 and 3936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3916 and 3936, than apply into the LCM equation.
GCF(3916,3936) = 4
LCM(3916,3936) = ( 3916 × 3936) / 4
LCM(3916,3936) = 15413376 / 4
LCM(3916,3936) = 3853344
Least Common Multiple (LCM) of 3916 and 3936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3936. First we will calculate the prime factors of 3916 and 3936.
Prime Factorization of 3916
Prime factors of 3916 are 2, 11, 89. Prime factorization of 3916 in exponential form is:
3916 = 22 × 111 × 891
Prime Factorization of 3936
Prime factors of 3936 are 2, 3, 41. Prime factorization of 3936 in exponential form is:
3936 = 25 × 31 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 3916 and 3936.
LCM(3916,3936) = 25 × 111 × 891 × 31 × 411
LCM(3916,3936) = 3853344
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