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What is the Least Common Multiple of 55250 and 55266?

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 55250 and 55266 is 1526723250.

LCM(55250,55266) = 1526723250

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Least Common Multiple of 55250 and 55266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55250 and 55266, than apply into the LCM equation.

GCF(55250,55266) = 2
LCM(55250,55266) = ( 55250 × 55266) / 2
LCM(55250,55266) = 3053446500 / 2
LCM(55250,55266) = 1526723250

Least Common Multiple (LCM) of 55250 and 55266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55250 and 55266. First we will calculate the prime factors of 55250 and 55266.

Prime Factorization of 55250

Prime factors of 55250 are 2, 5, 13, 17. Prime factorization of 55250 in exponential form is:

55250 = 21 × 53 × 131 × 171

Prime Factorization of 55266

Prime factors of 55266 are 2, 3, 61, 151. Prime factorization of 55266 in exponential form is:

55266 = 21 × 31 × 611 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 55250 and 55266.

LCM(55250,55266) = 21 × 53 × 131 × 171 × 31 × 611 × 1511
LCM(55250,55266) = 1526723250