What is the Least Common Multiple of 65115 and 65122?
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 65115 and 65122 is 4240419030.
LCM(65115,65122) = 4240419030
Least Common Multiple of 65115 and 65122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65115 and 65122, than apply into the LCM equation.
GCF(65115,65122) = 1
LCM(65115,65122) = ( 65115 × 65122) / 1
LCM(65115,65122) = 4240419030 / 1
LCM(65115,65122) = 4240419030
Least Common Multiple (LCM) of 65115 and 65122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65115 and 65122. First we will calculate the prime factors of 65115 and 65122.
Prime Factorization of 65115
Prime factors of 65115 are 3, 5, 1447. Prime factorization of 65115 in exponential form is:
65115 = 32 × 51 × 14471
Prime Factorization of 65122
Prime factors of 65122 are 2, 32561. Prime factorization of 65122 in exponential form is:
65122 = 21 × 325611
Now multiplying the highest exponent prime factors to calculate the LCM of 65115 and 65122.
LCM(65115,65122) = 32 × 51 × 14471 × 21 × 325611
LCM(65115,65122) = 4240419030
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