What is the Least Common Multiple of 64018 and 64037?
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 64018 and 64037 is 4099520666.
LCM(64018,64037) = 4099520666
Least Common Multiple of 64018 and 64037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64018 and 64037, than apply into the LCM equation.
GCF(64018,64037) = 1
LCM(64018,64037) = ( 64018 × 64037) / 1
LCM(64018,64037) = 4099520666 / 1
LCM(64018,64037) = 4099520666
Least Common Multiple (LCM) of 64018 and 64037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64018 and 64037. First we will calculate the prime factors of 64018 and 64037.
Prime Factorization of 64018
Prime factors of 64018 are 2, 32009. Prime factorization of 64018 in exponential form is:
64018 = 21 × 320091
Prime Factorization of 64037
Prime factors of 64037 are 64037. Prime factorization of 64037 in exponential form is:
64037 = 640371
Now multiplying the highest exponent prime factors to calculate the LCM of 64018 and 64037.
LCM(64018,64037) = 21 × 320091 × 640371
LCM(64018,64037) = 4099520666
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