What is the Least Common Multiple of 15083 and 15090?
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 15083 and 15090 is 227602470.
LCM(15083,15090) = 227602470
Least Common Multiple of 15083 and 15090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15083 and 15090, than apply into the LCM equation.
GCF(15083,15090) = 1
LCM(15083,15090) = ( 15083 × 15090) / 1
LCM(15083,15090) = 227602470 / 1
LCM(15083,15090) = 227602470
Least Common Multiple (LCM) of 15083 and 15090 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15083 and 15090. First we will calculate the prime factors of 15083 and 15090.
Prime Factorization of 15083
Prime factors of 15083 are 15083. Prime factorization of 15083 in exponential form is:
15083 = 150831
Prime Factorization of 15090
Prime factors of 15090 are 2, 3, 5, 503. Prime factorization of 15090 in exponential form is:
15090 = 21 × 31 × 51 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 15083 and 15090.
LCM(15083,15090) = 150831 × 21 × 31 × 51 × 5031
LCM(15083,15090) = 227602470
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