What is the Least Common Multiple of 1006 and 1013?
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 1006 and 1013 is 1019078.
LCM(1006,1013) = 1019078
Least Common Multiple of 1006 and 1013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1006 and 1013, than apply into the LCM equation.
GCF(1006,1013) = 1
LCM(1006,1013) = ( 1006 × 1013) / 1
LCM(1006,1013) = 1019078 / 1
LCM(1006,1013) = 1019078
Least Common Multiple (LCM) of 1006 and 1013 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1006 and 1013. First we will calculate the prime factors of 1006 and 1013.
Prime Factorization of 1006
Prime factors of 1006 are 2, 503. Prime factorization of 1006 in exponential form is:
1006 = 21 × 5031
Prime Factorization of 1013
Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:
1013 = 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 1006 and 1013.
LCM(1006,1013) = 21 × 5031 × 10131
LCM(1006,1013) = 1019078
Related Least Common Multiples of 1006
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