What is the Least Common Multiple of 66996 and 67001?
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 66996 and 67001 is 4488798996.
LCM(66996,67001) = 4488798996
Least Common Multiple of 66996 and 67001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66996 and 67001, than apply into the LCM equation.
GCF(66996,67001) = 1
LCM(66996,67001) = ( 66996 × 67001) / 1
LCM(66996,67001) = 4488798996 / 1
LCM(66996,67001) = 4488798996
Least Common Multiple (LCM) of 66996 and 67001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66996 and 67001. First we will calculate the prime factors of 66996 and 67001.
Prime Factorization of 66996
Prime factors of 66996 are 2, 3, 1861. Prime factorization of 66996 in exponential form is:
66996 = 22 × 32 × 18611
Prime Factorization of 67001
Prime factors of 67001 are 11, 6091. Prime factorization of 67001 in exponential form is:
67001 = 111 × 60911
Now multiplying the highest exponent prime factors to calculate the LCM of 66996 and 67001.
LCM(66996,67001) = 22 × 32 × 18611 × 111 × 60911
LCM(66996,67001) = 4488798996
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