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What is the Least Common Multiple of 64826 and 64832?

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 64826 and 64832 is 2101399616.

LCM(64826,64832) = 2101399616

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Least Common Multiple of 64826 and 64832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64826 and 64832, than apply into the LCM equation.

GCF(64826,64832) = 2
LCM(64826,64832) = ( 64826 × 64832) / 2
LCM(64826,64832) = 4202799232 / 2
LCM(64826,64832) = 2101399616

Least Common Multiple (LCM) of 64826 and 64832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64826 and 64832. First we will calculate the prime factors of 64826 and 64832.

Prime Factorization of 64826

Prime factors of 64826 are 2, 32413. Prime factorization of 64826 in exponential form is:

64826 = 21 × 324131

Prime Factorization of 64832

Prime factors of 64832 are 2, 1013. Prime factorization of 64832 in exponential form is:

64832 = 26 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 64826 and 64832.

LCM(64826,64832) = 26 × 324131 × 10131
LCM(64826,64832) = 2101399616