What is the Least Common Multiple of 90153 and 90159?
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 90153 and 90159 is 2709368109.
LCM(90153,90159) = 2709368109
Least Common Multiple of 90153 and 90159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90153 and 90159, than apply into the LCM equation.
GCF(90153,90159) = 3
LCM(90153,90159) = ( 90153 × 90159) / 3
LCM(90153,90159) = 8128104327 / 3
LCM(90153,90159) = 2709368109
Least Common Multiple (LCM) of 90153 and 90159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90153 and 90159. First we will calculate the prime factors of 90153 and 90159.
Prime Factorization of 90153
Prime factors of 90153 are 3, 7, 53. Prime factorization of 90153 in exponential form is:
90153 = 35 × 71 × 531
Prime Factorization of 90159
Prime factors of 90159 are 3, 41, 733. Prime factorization of 90159 in exponential form is:
90159 = 31 × 411 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 90153 and 90159.
LCM(90153,90159) = 35 × 71 × 531 × 411 × 7331
LCM(90153,90159) = 2709368109
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