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What is the Least Common Multiple of 64802 and 64816?

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 64802 and 64816 is 2100103216.

LCM(64802,64816) = 2100103216

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Least Common Multiple of 64802 and 64816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64802 and 64816, than apply into the LCM equation.

GCF(64802,64816) = 2
LCM(64802,64816) = ( 64802 × 64816) / 2
LCM(64802,64816) = 4200206432 / 2
LCM(64802,64816) = 2100103216

Least Common Multiple (LCM) of 64802 and 64816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64802 and 64816. First we will calculate the prime factors of 64802 and 64816.

Prime Factorization of 64802

Prime factors of 64802 are 2, 32401. Prime factorization of 64802 in exponential form is:

64802 = 21 × 324011

Prime Factorization of 64816

Prime factors of 64816 are 2, 4051. Prime factorization of 64816 in exponential form is:

64816 = 24 × 40511

Now multiplying the highest exponent prime factors to calculate the LCM of 64802 and 64816.

LCM(64802,64816) = 24 × 324011 × 40511
LCM(64802,64816) = 2100103216