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What is the Least Common Multiple of 64469 and 64478?

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 64469 and 64478 is 4156832182.

LCM(64469,64478) = 4156832182

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Least Common Multiple of 64469 and 64478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64469 and 64478, than apply into the LCM equation.

GCF(64469,64478) = 1
LCM(64469,64478) = ( 64469 × 64478) / 1
LCM(64469,64478) = 4156832182 / 1
LCM(64469,64478) = 4156832182

Least Common Multiple (LCM) of 64469 and 64478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64469 and 64478. First we will calculate the prime factors of 64469 and 64478.

Prime Factorization of 64469

Prime factors of 64469 are 23, 2803. Prime factorization of 64469 in exponential form is:

64469 = 231 × 28031

Prime Factorization of 64478

Prime factors of 64478 are 2, 103, 313. Prime factorization of 64478 in exponential form is:

64478 = 21 × 1031 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 64469 and 64478.

LCM(64469,64478) = 231 × 28031 × 21 × 1031 × 3131
LCM(64469,64478) = 4156832182