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What is the Least Common Multiple of 64993 and 65010?

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 64993 and 65010 is 4225194930.

LCM(64993,65010) = 4225194930

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Least Common Multiple of 64993 and 65010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64993 and 65010, than apply into the LCM equation.

GCF(64993,65010) = 1
LCM(64993,65010) = ( 64993 × 65010) / 1
LCM(64993,65010) = 4225194930 / 1
LCM(64993,65010) = 4225194930

Least Common Multiple (LCM) of 64993 and 65010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64993 and 65010. First we will calculate the prime factors of 64993 and 65010.

Prime Factorization of 64993

Prime factors of 64993 are 103, 631. Prime factorization of 64993 in exponential form is:

64993 = 1031 × 6311

Prime Factorization of 65010

Prime factors of 65010 are 2, 3, 5, 11, 197. Prime factorization of 65010 in exponential form is:

65010 = 21 × 31 × 51 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 64993 and 65010.

LCM(64993,65010) = 1031 × 6311 × 21 × 31 × 51 × 111 × 1971
LCM(64993,65010) = 4225194930