What is the Least Common Multiple of 3966 and 3985?
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 3966 and 3985 is 15804510.
LCM(3966,3985) = 15804510
Least Common Multiple of 3966 and 3985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3966 and 3985, than apply into the LCM equation.
GCF(3966,3985) = 1
LCM(3966,3985) = ( 3966 × 3985) / 1
LCM(3966,3985) = 15804510 / 1
LCM(3966,3985) = 15804510
Least Common Multiple (LCM) of 3966 and 3985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3966 and 3985. First we will calculate the prime factors of 3966 and 3985.
Prime Factorization of 3966
Prime factors of 3966 are 2, 3, 661. Prime factorization of 3966 in exponential form is:
3966 = 21 × 31 × 6611
Prime Factorization of 3985
Prime factors of 3985 are 5, 797. Prime factorization of 3985 in exponential form is:
3985 = 51 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 3966 and 3985.
LCM(3966,3985) = 21 × 31 × 6611 × 51 × 7971
LCM(3966,3985) = 15804510
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