What is the Least Common Multiple of 7003 and 7009?
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 7003 and 7009 is 49084027.
LCM(7003,7009) = 49084027
Least Common Multiple of 7003 and 7009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7003 and 7009, than apply into the LCM equation.
GCF(7003,7009) = 1
LCM(7003,7009) = ( 7003 × 7009) / 1
LCM(7003,7009) = 49084027 / 1
LCM(7003,7009) = 49084027
Least Common Multiple (LCM) of 7003 and 7009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7009. First we will calculate the prime factors of 7003 and 7009.
Prime Factorization of 7003
Prime factors of 7003 are 47, 149. Prime factorization of 7003 in exponential form is:
7003 = 471 × 1491
Prime Factorization of 7009
Prime factors of 7009 are 43, 163. Prime factorization of 7009 in exponential form is:
7009 = 431 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7003 and 7009.
LCM(7003,7009) = 471 × 1491 × 431 × 1631
LCM(7003,7009) = 49084027
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