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What is the Least Common Multiple of 64440 and 64445?

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 64440 and 64445 is 830567160.

LCM(64440,64445) = 830567160

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Least Common Multiple of 64440 and 64445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64440 and 64445, than apply into the LCM equation.

GCF(64440,64445) = 5
LCM(64440,64445) = ( 64440 × 64445) / 5
LCM(64440,64445) = 4152835800 / 5
LCM(64440,64445) = 830567160

Least Common Multiple (LCM) of 64440 and 64445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64440 and 64445. First we will calculate the prime factors of 64440 and 64445.

Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 23 × 32 × 51 × 1791

Prime Factorization of 64445

Prime factors of 64445 are 5, 12889. Prime factorization of 64445 in exponential form is:

64445 = 51 × 128891

Now multiplying the highest exponent prime factors to calculate the LCM of 64440 and 64445.

LCM(64440,64445) = 23 × 32 × 51 × 1791 × 128891
LCM(64440,64445) = 830567160