What is the Least Common Multiple of 8003 and 8015?
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 8003 and 8015 is 64144045.
LCM(8003,8015) = 64144045
Least Common Multiple of 8003 and 8015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8003 and 8015, than apply into the LCM equation.
GCF(8003,8015) = 1
LCM(8003,8015) = ( 8003 × 8015) / 1
LCM(8003,8015) = 64144045 / 1
LCM(8003,8015) = 64144045
Least Common Multiple (LCM) of 8003 and 8015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8003 and 8015. First we will calculate the prime factors of 8003 and 8015.
Prime Factorization of 8003
Prime factors of 8003 are 53, 151. Prime factorization of 8003 in exponential form is:
8003 = 531 × 1511
Prime Factorization of 8015
Prime factors of 8015 are 5, 7, 229. Prime factorization of 8015 in exponential form is:
8015 = 51 × 71 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 8003 and 8015.
LCM(8003,8015) = 531 × 1511 × 51 × 71 × 2291
LCM(8003,8015) = 64144045
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