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What is the Least Common Multiple of 64181 and 64185?

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 64181 and 64185 is 4119457485.

LCM(64181,64185) = 4119457485

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Least Common Multiple of 64181 and 64185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64181 and 64185, than apply into the LCM equation.

GCF(64181,64185) = 1
LCM(64181,64185) = ( 64181 × 64185) / 1
LCM(64181,64185) = 4119457485 / 1
LCM(64181,64185) = 4119457485

Least Common Multiple (LCM) of 64181 and 64185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64181 and 64185. First we will calculate the prime factors of 64181 and 64185.

Prime Factorization of 64181

Prime factors of 64181 are 13, 4937. Prime factorization of 64181 in exponential form is:

64181 = 131 × 49371

Prime Factorization of 64185

Prime factors of 64185 are 3, 5, 11, 389. Prime factorization of 64185 in exponential form is:

64185 = 31 × 51 × 111 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 64181 and 64185.

LCM(64181,64185) = 131 × 49371 × 31 × 51 × 111 × 3891
LCM(64181,64185) = 4119457485