What is the Least Common Multiple of 1007 and 1018?
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 1007 and 1018 is 1025126.
LCM(1007,1018) = 1025126
Least Common Multiple of 1007 and 1018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1007 and 1018, than apply into the LCM equation.
GCF(1007,1018) = 1
LCM(1007,1018) = ( 1007 × 1018) / 1
LCM(1007,1018) = 1025126 / 1
LCM(1007,1018) = 1025126
Least Common Multiple (LCM) of 1007 and 1018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1007 and 1018. First we will calculate the prime factors of 1007 and 1018.
Prime Factorization of 1007
Prime factors of 1007 are 19, 53. Prime factorization of 1007 in exponential form is:
1007 = 191 × 531
Prime Factorization of 1018
Prime factors of 1018 are 2, 509. Prime factorization of 1018 in exponential form is:
1018 = 21 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 1007 and 1018.
LCM(1007,1018) = 191 × 531 × 21 × 5091
LCM(1007,1018) = 1025126
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