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What is the Least Common Multiple of 67991 and 68006?

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 67991 and 68006 is 4623795946.

LCM(67991,68006) = 4623795946

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Least Common Multiple of 67991 and 68006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67991 and 68006, than apply into the LCM equation.

GCF(67991,68006) = 1
LCM(67991,68006) = ( 67991 × 68006) / 1
LCM(67991,68006) = 4623795946 / 1
LCM(67991,68006) = 4623795946

Least Common Multiple (LCM) of 67991 and 68006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67991 and 68006. First we will calculate the prime factors of 67991 and 68006.

Prime Factorization of 67991

Prime factors of 67991 are 7, 11, 883. Prime factorization of 67991 in exponential form is:

67991 = 71 × 111 × 8831

Prime Factorization of 68006

Prime factors of 68006 are 2, 37, 919. Prime factorization of 68006 in exponential form is:

68006 = 21 × 371 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 67991 and 68006.

LCM(67991,68006) = 71 × 111 × 8831 × 21 × 371 × 9191
LCM(67991,68006) = 4623795946