What is the Least Common Multiple of 99065 and 99077?
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 99065 and 99077 is 9815063005.
LCM(99065,99077) = 9815063005
Least Common Multiple of 99065 and 99077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99065 and 99077, than apply into the LCM equation.
GCF(99065,99077) = 1
LCM(99065,99077) = ( 99065 × 99077) / 1
LCM(99065,99077) = 9815063005 / 1
LCM(99065,99077) = 9815063005
Least Common Multiple (LCM) of 99065 and 99077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99065 and 99077. First we will calculate the prime factors of 99065 and 99077.
Prime Factorization of 99065
Prime factors of 99065 are 5, 19813. Prime factorization of 99065 in exponential form is:
99065 = 51 × 198131
Prime Factorization of 99077
Prime factors of 99077 are 11, 9007. Prime factorization of 99077 in exponential form is:
99077 = 111 × 90071
Now multiplying the highest exponent prime factors to calculate the LCM of 99065 and 99077.
LCM(99065,99077) = 51 × 198131 × 111 × 90071
LCM(99065,99077) = 9815063005
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