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What is the Least Common Multiple of 55544 and 55560?

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 55544 and 55560 is 385753080.

LCM(55544,55560) = 385753080

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Least Common Multiple of 55544 and 55560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55544 and 55560, than apply into the LCM equation.

GCF(55544,55560) = 8
LCM(55544,55560) = ( 55544 × 55560) / 8
LCM(55544,55560) = 3086024640 / 8
LCM(55544,55560) = 385753080

Least Common Multiple (LCM) of 55544 and 55560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55544 and 55560. First we will calculate the prime factors of 55544 and 55560.

Prime Factorization of 55544

Prime factors of 55544 are 2, 53, 131. Prime factorization of 55544 in exponential form is:

55544 = 23 × 531 × 1311

Prime Factorization of 55560

Prime factors of 55560 are 2, 3, 5, 463. Prime factorization of 55560 in exponential form is:

55560 = 23 × 31 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 55544 and 55560.

LCM(55544,55560) = 23 × 531 × 1311 × 31 × 51 × 4631
LCM(55544,55560) = 385753080