What is the Least Common Multiple of 64040 and 64051?
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 64040 and 64051 is 4101826040.
LCM(64040,64051) = 4101826040
Least Common Multiple of 64040 and 64051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64040 and 64051, than apply into the LCM equation.
GCF(64040,64051) = 1
LCM(64040,64051) = ( 64040 × 64051) / 1
LCM(64040,64051) = 4101826040 / 1
LCM(64040,64051) = 4101826040
Least Common Multiple (LCM) of 64040 and 64051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64040 and 64051. First we will calculate the prime factors of 64040 and 64051.
Prime Factorization of 64040
Prime factors of 64040 are 2, 5, 1601. Prime factorization of 64040 in exponential form is:
64040 = 23 × 51 × 16011
Prime Factorization of 64051
Prime factors of 64051 are 13, 379. Prime factorization of 64051 in exponential form is:
64051 = 132 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 64040 and 64051.
LCM(64040,64051) = 23 × 51 × 16011 × 132 × 3791
LCM(64040,64051) = 4101826040
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