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What is the Least Common Multiple of 64483 and 64493?

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 64483 and 64493 is 4158702119.

LCM(64483,64493) = 4158702119

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Least Common Multiple of 64483 and 64493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64483 and 64493, than apply into the LCM equation.

GCF(64483,64493) = 1
LCM(64483,64493) = ( 64483 × 64493) / 1
LCM(64483,64493) = 4158702119 / 1
LCM(64483,64493) = 4158702119

Least Common Multiple (LCM) of 64483 and 64493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64483 and 64493. First we will calculate the prime factors of 64483 and 64493.

Prime Factorization of 64483

Prime factors of 64483 are 64483. Prime factorization of 64483 in exponential form is:

64483 = 644831

Prime Factorization of 64493

Prime factors of 64493 are 11, 13, 41. Prime factorization of 64493 in exponential form is:

64493 = 112 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 64483 and 64493.

LCM(64483,64493) = 644831 × 112 × 131 × 411
LCM(64483,64493) = 4158702119