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What is the Least Common Multiple of 52648 and 52655?

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 52648 and 52655 is 2772180440.

LCM(52648,52655) = 2772180440

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Least Common Multiple of 52648 and 52655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52648 and 52655, than apply into the LCM equation.

GCF(52648,52655) = 1
LCM(52648,52655) = ( 52648 × 52655) / 1
LCM(52648,52655) = 2772180440 / 1
LCM(52648,52655) = 2772180440

Least Common Multiple (LCM) of 52648 and 52655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52648 and 52655. First we will calculate the prime factors of 52648 and 52655.

Prime Factorization of 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 23 × 65811

Prime Factorization of 52655

Prime factors of 52655 are 5, 10531. Prime factorization of 52655 in exponential form is:

52655 = 51 × 105311

Now multiplying the highest exponent prime factors to calculate the LCM of 52648 and 52655.

LCM(52648,52655) = 23 × 65811 × 51 × 105311
LCM(52648,52655) = 2772180440