What is the Least Common Multiple of 64339 and 64359?
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 64339 and 64359 is 4140793701.
LCM(64339,64359) = 4140793701
Least Common Multiple of 64339 and 64359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64339 and 64359, than apply into the LCM equation.
GCF(64339,64359) = 1
LCM(64339,64359) = ( 64339 × 64359) / 1
LCM(64339,64359) = 4140793701 / 1
LCM(64339,64359) = 4140793701
Least Common Multiple (LCM) of 64339 and 64359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64339 and 64359. First we will calculate the prime factors of 64339 and 64359.
Prime Factorization of 64339
Prime factors of 64339 are 11, 5849. Prime factorization of 64339 in exponential form is:
64339 = 111 × 58491
Prime Factorization of 64359
Prime factors of 64359 are 3, 7151. Prime factorization of 64359 in exponential form is:
64359 = 32 × 71511
Now multiplying the highest exponent prime factors to calculate the LCM of 64339 and 64359.
LCM(64339,64359) = 111 × 58491 × 32 × 71511
LCM(64339,64359) = 4140793701
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