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What is the Least Common Multiple of 64195 and 64204?

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 64195 and 64204 is 4121575780.

LCM(64195,64204) = 4121575780

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Least Common Multiple of 64195 and 64204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64195 and 64204, than apply into the LCM equation.

GCF(64195,64204) = 1
LCM(64195,64204) = ( 64195 × 64204) / 1
LCM(64195,64204) = 4121575780 / 1
LCM(64195,64204) = 4121575780

Least Common Multiple (LCM) of 64195 and 64204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64195 and 64204. First we will calculate the prime factors of 64195 and 64204.

Prime Factorization of 64195

Prime factors of 64195 are 5, 37, 347. Prime factorization of 64195 in exponential form is:

64195 = 51 × 371 × 3471

Prime Factorization of 64204

Prime factors of 64204 are 2, 7, 2293. Prime factorization of 64204 in exponential form is:

64204 = 22 × 71 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 64195 and 64204.

LCM(64195,64204) = 51 × 371 × 3471 × 22 × 71 × 22931
LCM(64195,64204) = 4121575780