What is the Least Common Multiple of 90135 and 90153?
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 90135 and 90153 is 902882295.
LCM(90135,90153) = 902882295
Least Common Multiple of 90135 and 90153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90135 and 90153, than apply into the LCM equation.
GCF(90135,90153) = 9
LCM(90135,90153) = ( 90135 × 90153) / 9
LCM(90135,90153) = 8125940655 / 9
LCM(90135,90153) = 902882295
Least Common Multiple (LCM) of 90135 and 90153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90135 and 90153. First we will calculate the prime factors of 90135 and 90153.
Prime Factorization of 90135
Prime factors of 90135 are 3, 5, 2003. Prime factorization of 90135 in exponential form is:
90135 = 32 × 51 × 20031
Prime Factorization of 90153
Prime factors of 90153 are 3, 7, 53. Prime factorization of 90153 in exponential form is:
90153 = 35 × 71 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 90135 and 90153.
LCM(90135,90153) = 35 × 51 × 20031 × 71 × 531
LCM(90135,90153) = 902882295
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