What is the Least Common Multiple of 9996 and 10002?
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 9996 and 10002 is 16663332.
LCM(9996,10002) = 16663332
Least Common Multiple of 9996 and 10002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9996 and 10002, than apply into the LCM equation.
GCF(9996,10002) = 6
LCM(9996,10002) = ( 9996 × 10002) / 6
LCM(9996,10002) = 99979992 / 6
LCM(9996,10002) = 16663332
Least Common Multiple (LCM) of 9996 and 10002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9996 and 10002. First we will calculate the prime factors of 9996 and 10002.
Prime Factorization of 9996
Prime factors of 9996 are 2, 3, 7, 17. Prime factorization of 9996 in exponential form is:
9996 = 22 × 31 × 72 × 171
Prime Factorization of 10002
Prime factors of 10002 are 2, 3, 1667. Prime factorization of 10002 in exponential form is:
10002 = 21 × 31 × 16671
Now multiplying the highest exponent prime factors to calculate the LCM of 9996 and 10002.
LCM(9996,10002) = 22 × 31 × 72 × 171 × 16671
LCM(9996,10002) = 16663332
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