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What is the Least Common Multiple of 64682 and 64693?

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 64682 and 64693 is 4184472626.

LCM(64682,64693) = 4184472626

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Least Common Multiple of 64682 and 64693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64682 and 64693, than apply into the LCM equation.

GCF(64682,64693) = 1
LCM(64682,64693) = ( 64682 × 64693) / 1
LCM(64682,64693) = 4184472626 / 1
LCM(64682,64693) = 4184472626

Least Common Multiple (LCM) of 64682 and 64693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64682 and 64693. First we will calculate the prime factors of 64682 and 64693.

Prime Factorization of 64682

Prime factors of 64682 are 2, 32341. Prime factorization of 64682 in exponential form is:

64682 = 21 × 323411

Prime Factorization of 64693

Prime factors of 64693 are 64693. Prime factorization of 64693 in exponential form is:

64693 = 646931

Now multiplying the highest exponent prime factors to calculate the LCM of 64682 and 64693.

LCM(64682,64693) = 21 × 323411 × 646931
LCM(64682,64693) = 4184472626