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What is the Least Common Multiple of 73995 and 73999?

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 73995 and 73999 is 5475556005.

LCM(73995,73999) = 5475556005

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Least Common Multiple of 73995 and 73999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73995 and 73999, than apply into the LCM equation.

GCF(73995,73999) = 1
LCM(73995,73999) = ( 73995 × 73999) / 1
LCM(73995,73999) = 5475556005 / 1
LCM(73995,73999) = 5475556005

Least Common Multiple (LCM) of 73995 and 73999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73995 and 73999. First we will calculate the prime factors of 73995 and 73999.

Prime Factorization of 73995

Prime factors of 73995 are 3, 5, 4933. Prime factorization of 73995 in exponential form is:

73995 = 31 × 51 × 49331

Prime Factorization of 73999

Prime factors of 73999 are 73999. Prime factorization of 73999 in exponential form is:

73999 = 739991

Now multiplying the highest exponent prime factors to calculate the LCM of 73995 and 73999.

LCM(73995,73999) = 31 × 51 × 49331 × 739991
LCM(73995,73999) = 5475556005