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What is the Least Common Multiple of 64442 and 64449?

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 64442 and 64449 is 593317494.

LCM(64442,64449) = 593317494

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Least Common Multiple of 64442 and 64449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64442 and 64449, than apply into the LCM equation.

GCF(64442,64449) = 7
LCM(64442,64449) = ( 64442 × 64449) / 7
LCM(64442,64449) = 4153222458 / 7
LCM(64442,64449) = 593317494

Least Common Multiple (LCM) of 64442 and 64449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64442 and 64449. First we will calculate the prime factors of 64442 and 64449.

Prime Factorization of 64442

Prime factors of 64442 are 2, 7, 4603. Prime factorization of 64442 in exponential form is:

64442 = 21 × 71 × 46031

Prime Factorization of 64449

Prime factors of 64449 are 3, 7, 11, 31. Prime factorization of 64449 in exponential form is:

64449 = 33 × 71 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64442 and 64449.

LCM(64442,64449) = 21 × 71 × 46031 × 33 × 111 × 311
LCM(64442,64449) = 593317494