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What is the Least Common Multiple of 64442 and 64448?

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 64448 is 2076579008.

LCM(64442,64448) = 2076579008

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Least Common Multiple of 64442 and 64448 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 64448, than apply into the LCM equation.

GCF(64442,64448) = 2
LCM(64442,64448) = ( 64442 × 64448) / 2
LCM(64442,64448) = 4153158016 / 2
LCM(64442,64448) = 2076579008

Least Common Multiple (LCM) of 64442 and 64448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64442 and 64448. First we will calculate the prime factors of 64442 and 64448.

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 64448

Prime factors of 64448 are 2, 19, 53. Prime factorization of 64448 in exponential form is:

64448 = 26 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 64442 and 64448.

LCM(64442,64448) = 26 × 71 × 46031 × 191 × 531
LCM(64442,64448) = 2076579008