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What is the Least Common Multiple of 49545 and 49553?

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 49545 and 49553 is 2455103385.

LCM(49545,49553) = 2455103385

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Least Common Multiple of 49545 and 49553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49545 and 49553, than apply into the LCM equation.

GCF(49545,49553) = 1
LCM(49545,49553) = ( 49545 × 49553) / 1
LCM(49545,49553) = 2455103385 / 1
LCM(49545,49553) = 2455103385

Least Common Multiple (LCM) of 49545 and 49553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49545 and 49553. First we will calculate the prime factors of 49545 and 49553.

Prime Factorization of 49545

Prime factors of 49545 are 3, 5, 367. Prime factorization of 49545 in exponential form is:

49545 = 33 × 51 × 3671

Prime Factorization of 49553

Prime factors of 49553 are 7, 7079. Prime factorization of 49553 in exponential form is:

49553 = 71 × 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 49545 and 49553.

LCM(49545,49553) = 33 × 51 × 3671 × 71 × 70791
LCM(49545,49553) = 2455103385