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What is the Least Common Multiple of 55610 and 55614?

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 55610 and 55614 is 1546347270.

LCM(55610,55614) = 1546347270

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Least Common Multiple of 55610 and 55614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55610 and 55614, than apply into the LCM equation.

GCF(55610,55614) = 2
LCM(55610,55614) = ( 55610 × 55614) / 2
LCM(55610,55614) = 3092694540 / 2
LCM(55610,55614) = 1546347270

Least Common Multiple (LCM) of 55610 and 55614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55610 and 55614. First we will calculate the prime factors of 55610 and 55614.

Prime Factorization of 55610

Prime factors of 55610 are 2, 5, 67, 83. Prime factorization of 55610 in exponential form is:

55610 = 21 × 51 × 671 × 831

Prime Factorization of 55614

Prime factors of 55614 are 2, 3, 13, 23, 31. Prime factorization of 55614 in exponential form is:

55614 = 21 × 31 × 131 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 55610 and 55614.

LCM(55610,55614) = 21 × 51 × 671 × 831 × 31 × 131 × 231 × 311
LCM(55610,55614) = 1546347270