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What is the Least Common Multiple of 64995 and 65000?

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 64995 and 65000 is 844935000.

LCM(64995,65000) = 844935000

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Least Common Multiple of 64995 and 65000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64995 and 65000, than apply into the LCM equation.

GCF(64995,65000) = 5
LCM(64995,65000) = ( 64995 × 65000) / 5
LCM(64995,65000) = 4224675000 / 5
LCM(64995,65000) = 844935000

Least Common Multiple (LCM) of 64995 and 65000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64995 and 65000. First we will calculate the prime factors of 64995 and 65000.

Prime Factorization of 64995

Prime factors of 64995 are 3, 5, 7, 619. Prime factorization of 64995 in exponential form is:

64995 = 31 × 51 × 71 × 6191

Prime Factorization of 65000

Prime factors of 65000 are 2, 5, 13. Prime factorization of 65000 in exponential form is:

65000 = 23 × 54 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 64995 and 65000.

LCM(64995,65000) = 31 × 54 × 71 × 6191 × 23 × 131
LCM(64995,65000) = 844935000