What is the Least Common Multiple of 64002 and 64006?
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 64002 and 64006 is 2048256006.
LCM(64002,64006) = 2048256006
Least Common Multiple of 64002 and 64006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64002 and 64006, than apply into the LCM equation.
GCF(64002,64006) = 2
LCM(64002,64006) = ( 64002 × 64006) / 2
LCM(64002,64006) = 4096512012 / 2
LCM(64002,64006) = 2048256006
Least Common Multiple (LCM) of 64002 and 64006 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64002 and 64006. First we will calculate the prime factors of 64002 and 64006.
Prime Factorization of 64002
Prime factors of 64002 are 2, 3, 10667. Prime factorization of 64002 in exponential form is:
64002 = 21 × 31 × 106671
Prime Factorization of 64006
Prime factors of 64006 are 2, 32003. Prime factorization of 64006 in exponential form is:
64006 = 21 × 320031
Now multiplying the highest exponent prime factors to calculate the LCM of 64002 and 64006.
LCM(64002,64006) = 21 × 31 × 106671 × 320031
LCM(64002,64006) = 2048256006
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