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What is the Least Common Multiple of 72918 and 72927?

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 72918 and 72927 is 590854554.

LCM(72918,72927) = 590854554

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Least Common Multiple of 72918 and 72927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72918 and 72927, than apply into the LCM equation.

GCF(72918,72927) = 9
LCM(72918,72927) = ( 72918 × 72927) / 9
LCM(72918,72927) = 5317690986 / 9
LCM(72918,72927) = 590854554

Least Common Multiple (LCM) of 72918 and 72927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72918 and 72927. First we will calculate the prime factors of 72918 and 72927.

Prime Factorization of 72918

Prime factors of 72918 are 2, 3, 4051. Prime factorization of 72918 in exponential form is:

72918 = 21 × 32 × 40511

Prime Factorization of 72927

Prime factors of 72927 are 3, 37, 73. Prime factorization of 72927 in exponential form is:

72927 = 33 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 72918 and 72927.

LCM(72918,72927) = 21 × 33 × 40511 × 371 × 731
LCM(72918,72927) = 590854554