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What is the Least Common Multiple of 55204 and 55213?

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 55204 and 55213 is 3047978452.

LCM(55204,55213) = 3047978452

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Least Common Multiple of 55204 and 55213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55204 and 55213, than apply into the LCM equation.

GCF(55204,55213) = 1
LCM(55204,55213) = ( 55204 × 55213) / 1
LCM(55204,55213) = 3047978452 / 1
LCM(55204,55213) = 3047978452

Least Common Multiple (LCM) of 55204 and 55213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55204 and 55213. First we will calculate the prime factors of 55204 and 55213.

Prime Factorization of 55204

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

55204 = 22 × 371 × 3731

Prime Factorization of 55213

Prime factors of 55213 are 55213. Prime factorization of 55213 in exponential form is:

55213 = 552131

Now multiplying the highest exponent prime factors to calculate the LCM of 55204 and 55213.

LCM(55204,55213) = 22 × 371 × 3731 × 552131
LCM(55204,55213) = 3047978452