What is the Least Common Multiple of 64022 and 64039?
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 64022 and 64039 is 241170874.
LCM(64022,64039) = 241170874
Least Common Multiple of 64022 and 64039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64022 and 64039, than apply into the LCM equation.
GCF(64022,64039) = 17
LCM(64022,64039) = ( 64022 × 64039) / 17
LCM(64022,64039) = 4099904858 / 17
LCM(64022,64039) = 241170874
Least Common Multiple (LCM) of 64022 and 64039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64022 and 64039. First we will calculate the prime factors of 64022 and 64039.
Prime Factorization of 64022
Prime factors of 64022 are 2, 7, 17, 269. Prime factorization of 64022 in exponential form is:
64022 = 21 × 71 × 171 × 2691
Prime Factorization of 64039
Prime factors of 64039 are 17, 3767. Prime factorization of 64039 in exponential form is:
64039 = 171 × 37671
Now multiplying the highest exponent prime factors to calculate the LCM of 64022 and 64039.
LCM(64022,64039) = 21 × 71 × 171 × 2691 × 37671
LCM(64022,64039) = 241170874
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