What is the Least Common Multiple of 67994 and 68004?
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 67994 and 68004 is 2311931988.
LCM(67994,68004) = 2311931988
Least Common Multiple of 67994 and 68004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67994 and 68004, than apply into the LCM equation.
GCF(67994,68004) = 2
LCM(67994,68004) = ( 67994 × 68004) / 2
LCM(67994,68004) = 4623863976 / 2
LCM(67994,68004) = 2311931988
Least Common Multiple (LCM) of 67994 and 68004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67994 and 68004. First we will calculate the prime factors of 67994 and 68004.
Prime Factorization of 67994
Prime factors of 67994 are 2, 33997. Prime factorization of 67994 in exponential form is:
67994 = 21 × 339971
Prime Factorization of 68004
Prime factors of 68004 are 2, 3, 1889. Prime factorization of 68004 in exponential form is:
68004 = 22 × 32 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 67994 and 68004.
LCM(67994,68004) = 22 × 339971 × 32 × 18891
LCM(67994,68004) = 2311931988
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