What is the Least Common Multiple of 8002 and 8010?
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 8002 and 8010 is 32048010.
LCM(8002,8010) = 32048010
Least Common Multiple of 8002 and 8010 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8002 and 8010, than apply into the LCM equation.
GCF(8002,8010) = 2
LCM(8002,8010) = ( 8002 × 8010) / 2
LCM(8002,8010) = 64096020 / 2
LCM(8002,8010) = 32048010
Least Common Multiple (LCM) of 8002 and 8010 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8002 and 8010. First we will calculate the prime factors of 8002 and 8010.
Prime Factorization of 8002
Prime factors of 8002 are 2, 4001. Prime factorization of 8002 in exponential form is:
8002 = 21 × 40011
Prime Factorization of 8010
Prime factors of 8010 are 2, 3, 5, 89. Prime factorization of 8010 in exponential form is:
8010 = 21 × 32 × 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 8002 and 8010.
LCM(8002,8010) = 21 × 40011 × 32 × 51 × 891
LCM(8002,8010) = 32048010
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