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What is the Least Common Multiple of 55190 and 55204?

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 55190 and 55204 is 1523354380.

LCM(55190,55204) = 1523354380

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Least Common Multiple of 55190 and 55204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55190 and 55204, than apply into the LCM equation.

GCF(55190,55204) = 2
LCM(55190,55204) = ( 55190 × 55204) / 2
LCM(55190,55204) = 3046708760 / 2
LCM(55190,55204) = 1523354380

Least Common Multiple (LCM) of 55190 and 55204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55190 and 55204. First we will calculate the prime factors of 55190 and 55204.

Prime Factorization of 55190

Prime factors of 55190 are 2, 5, 5519. Prime factorization of 55190 in exponential form is:

55190 = 21 × 51 × 55191

Prime Factorization of 55204

Prime factors of 55204 are 2, 37, 373. Prime factorization of 55204 in exponential form is:

55204 = 22 × 371 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 55190 and 55204.

LCM(55190,55204) = 22 × 51 × 55191 × 371 × 3731
LCM(55190,55204) = 1523354380