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What is the Least Common Multiple of 64027 and 64040?

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 64027 and 64040 is 4100289080.

LCM(64027,64040) = 4100289080

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Least Common Multiple of 64027 and 64040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64027 and 64040, than apply into the LCM equation.

GCF(64027,64040) = 1
LCM(64027,64040) = ( 64027 × 64040) / 1
LCM(64027,64040) = 4100289080 / 1
LCM(64027,64040) = 4100289080

Least Common Multiple (LCM) of 64027 and 64040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64027 and 64040. First we will calculate the prime factors of 64027 and 64040.

Prime Factorization of 64027

Prime factors of 64027 are 43, 1489. Prime factorization of 64027 in exponential form is:

64027 = 431 × 14891

Prime Factorization of 64040

Prime factors of 64040 are 2, 5, 1601. Prime factorization of 64040 in exponential form is:

64040 = 23 × 51 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 64027 and 64040.

LCM(64027,64040) = 431 × 14891 × 23 × 51 × 16011
LCM(64027,64040) = 4100289080