What is the Least Common Multiple of 9050 and 9066?
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 9050 and 9066 is 41023650.
LCM(9050,9066) = 41023650
Least Common Multiple of 9050 and 9066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9050 and 9066, than apply into the LCM equation.
GCF(9050,9066) = 2
LCM(9050,9066) = ( 9050 × 9066) / 2
LCM(9050,9066) = 82047300 / 2
LCM(9050,9066) = 41023650
Least Common Multiple (LCM) of 9050 and 9066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9050 and 9066. First we will calculate the prime factors of 9050 and 9066.
Prime Factorization of 9050
Prime factors of 9050 are 2, 5, 181. Prime factorization of 9050 in exponential form is:
9050 = 21 × 52 × 1811
Prime Factorization of 9066
Prime factors of 9066 are 2, 3, 1511. Prime factorization of 9066 in exponential form is:
9066 = 21 × 31 × 15111
Now multiplying the highest exponent prime factors to calculate the LCM of 9050 and 9066.
LCM(9050,9066) = 21 × 52 × 1811 × 31 × 15111
LCM(9050,9066) = 41023650
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