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What is the Least Common Multiple of 64510 and 64524?

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 64510 and 64524 is 2081221620.

LCM(64510,64524) = 2081221620

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Least Common Multiple of 64510 and 64524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64510 and 64524, than apply into the LCM equation.

GCF(64510,64524) = 2
LCM(64510,64524) = ( 64510 × 64524) / 2
LCM(64510,64524) = 4162443240 / 2
LCM(64510,64524) = 2081221620

Least Common Multiple (LCM) of 64510 and 64524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64510 and 64524. First we will calculate the prime factors of 64510 and 64524.

Prime Factorization of 64510

Prime factors of 64510 are 2, 5, 6451. Prime factorization of 64510 in exponential form is:

64510 = 21 × 51 × 64511

Prime Factorization of 64524

Prime factors of 64524 are 2, 3, 19, 283. Prime factorization of 64524 in exponential form is:

64524 = 22 × 31 × 191 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 64510 and 64524.

LCM(64510,64524) = 22 × 51 × 64511 × 31 × 191 × 2831
LCM(64510,64524) = 2081221620