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What is the Least Common Multiple of 64598 and 64602?

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 64598 and 64602 is 2086579998.

LCM(64598,64602) = 2086579998

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Least Common Multiple of 64598 and 64602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64598 and 64602, than apply into the LCM equation.

GCF(64598,64602) = 2
LCM(64598,64602) = ( 64598 × 64602) / 2
LCM(64598,64602) = 4173159996 / 2
LCM(64598,64602) = 2086579998

Least Common Multiple (LCM) of 64598 and 64602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64598 and 64602. First we will calculate the prime factors of 64598 and 64602.

Prime Factorization of 64598

Prime factors of 64598 are 2, 32299. Prime factorization of 64598 in exponential form is:

64598 = 21 × 322991

Prime Factorization of 64602

Prime factors of 64602 are 2, 3, 37, 97. Prime factorization of 64602 in exponential form is:

64602 = 21 × 32 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 64598 and 64602.

LCM(64598,64602) = 21 × 322991 × 32 × 371 × 971
LCM(64598,64602) = 2086579998