What is the Least Common Multiple of 15007 and 15027?
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 15007 and 15027 is 225510189.
LCM(15007,15027) = 225510189
Least Common Multiple of 15007 and 15027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15007 and 15027, than apply into the LCM equation.
GCF(15007,15027) = 1
LCM(15007,15027) = ( 15007 × 15027) / 1
LCM(15007,15027) = 225510189 / 1
LCM(15007,15027) = 225510189
Least Common Multiple (LCM) of 15007 and 15027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15007 and 15027. First we will calculate the prime factors of 15007 and 15027.
Prime Factorization of 15007
Prime factors of 15007 are 43, 349. Prime factorization of 15007 in exponential form is:
15007 = 431 × 3491
Prime Factorization of 15027
Prime factors of 15027 are 3, 5009. Prime factorization of 15027 in exponential form is:
15027 = 31 × 50091
Now multiplying the highest exponent prime factors to calculate the LCM of 15007 and 15027.
LCM(15007,15027) = 431 × 3491 × 31 × 50091
LCM(15007,15027) = 225510189
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