What is the Least Common Multiple of 65011 and 65022?
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 65011 and 65022 is 4227145242.
LCM(65011,65022) = 4227145242
Least Common Multiple of 65011 and 65022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65011 and 65022, than apply into the LCM equation.
GCF(65011,65022) = 1
LCM(65011,65022) = ( 65011 × 65022) / 1
LCM(65011,65022) = 4227145242 / 1
LCM(65011,65022) = 4227145242
Least Common Multiple (LCM) of 65011 and 65022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65011 and 65022. First we will calculate the prime factors of 65011 and 65022.
Prime Factorization of 65011
Prime factors of 65011 are 65011. Prime factorization of 65011 in exponential form is:
65011 = 650111
Prime Factorization of 65022
Prime factors of 65022 are 2, 3, 10837. Prime factorization of 65022 in exponential form is:
65022 = 21 × 31 × 108371
Now multiplying the highest exponent prime factors to calculate the LCM of 65011 and 65022.
LCM(65011,65022) = 650111 × 21 × 31 × 108371
LCM(65011,65022) = 4227145242
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