What is the Least Common Multiple of 67064 and 67071?
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 67064 and 67071 is 4498049544.
LCM(67064,67071) = 4498049544
Least Common Multiple of 67064 and 67071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67064 and 67071, than apply into the LCM equation.
GCF(67064,67071) = 1
LCM(67064,67071) = ( 67064 × 67071) / 1
LCM(67064,67071) = 4498049544 / 1
LCM(67064,67071) = 4498049544
Least Common Multiple (LCM) of 67064 and 67071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67064 and 67071. First we will calculate the prime factors of 67064 and 67071.
Prime Factorization of 67064
Prime factors of 67064 are 2, 83, 101. Prime factorization of 67064 in exponential form is:
67064 = 23 × 831 × 1011
Prime Factorization of 67071
Prime factors of 67071 are 3, 79, 283. Prime factorization of 67071 in exponential form is:
67071 = 31 × 791 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 67064 and 67071.
LCM(67064,67071) = 23 × 831 × 1011 × 31 × 791 × 2831
LCM(67064,67071) = 4498049544
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