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What is the Least Common Multiple of 67993 and 68005?

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 67993 and 68005 is 4623863965.

LCM(67993,68005) = 4623863965

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Least Common Multiple of 67993 and 68005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67993 and 68005, than apply into the LCM equation.

GCF(67993,68005) = 1
LCM(67993,68005) = ( 67993 × 68005) / 1
LCM(67993,68005) = 4623863965 / 1
LCM(67993,68005) = 4623863965

Least Common Multiple (LCM) of 67993 and 68005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67993 and 68005. First we will calculate the prime factors of 67993 and 68005.

Prime Factorization of 67993

Prime factors of 67993 are 67993. Prime factorization of 67993 in exponential form is:

67993 = 679931

Prime Factorization of 68005

Prime factors of 68005 are 5, 7, 29, 67. Prime factorization of 68005 in exponential form is:

68005 = 51 × 71 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 67993 and 68005.

LCM(67993,68005) = 679931 × 51 × 71 × 291 × 671
LCM(67993,68005) = 4623863965