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What is the Least Common Multiple of 52477 and 52481?

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 52477 and 52481 is 2754045437.

LCM(52477,52481) = 2754045437

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Least Common Multiple of 52477 and 52481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52477 and 52481, than apply into the LCM equation.

GCF(52477,52481) = 1
LCM(52477,52481) = ( 52477 × 52481) / 1
LCM(52477,52481) = 2754045437 / 1
LCM(52477,52481) = 2754045437

Least Common Multiple (LCM) of 52477 and 52481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52477 and 52481. First we will calculate the prime factors of 52477 and 52481.

Prime Factorization of 52477

Prime factors of 52477 are 97, 541. Prime factorization of 52477 in exponential form is:

52477 = 971 × 5411

Prime Factorization of 52481

Prime factors of 52481 are 11, 13, 367. Prime factorization of 52481 in exponential form is:

52481 = 111 × 131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 52477 and 52481.

LCM(52477,52481) = 971 × 5411 × 111 × 131 × 3671
LCM(52477,52481) = 2754045437