What is the Least Common Multiple of 66064 and 66083?
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 66064 and 66083 is 4365707312.
LCM(66064,66083) = 4365707312
Least Common Multiple of 66064 and 66083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66064 and 66083, than apply into the LCM equation.
GCF(66064,66083) = 1
LCM(66064,66083) = ( 66064 × 66083) / 1
LCM(66064,66083) = 4365707312 / 1
LCM(66064,66083) = 4365707312
Least Common Multiple (LCM) of 66064 and 66083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66064 and 66083. First we will calculate the prime factors of 66064 and 66083.
Prime Factorization of 66064
Prime factors of 66064 are 2, 4129. Prime factorization of 66064 in exponential form is:
66064 = 24 × 41291
Prime Factorization of 66083
Prime factors of 66083 are 66083. Prime factorization of 66083 in exponential form is:
66083 = 660831
Now multiplying the highest exponent prime factors to calculate the LCM of 66064 and 66083.
LCM(66064,66083) = 24 × 41291 × 660831
LCM(66064,66083) = 4365707312
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