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What is the Least Common Multiple of 53447 and 53455?

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 53447 and 53455 is 2857009385.

LCM(53447,53455) = 2857009385

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Least Common Multiple of 53447 and 53455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53447 and 53455, than apply into the LCM equation.

GCF(53447,53455) = 1
LCM(53447,53455) = ( 53447 × 53455) / 1
LCM(53447,53455) = 2857009385 / 1
LCM(53447,53455) = 2857009385

Least Common Multiple (LCM) of 53447 and 53455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53447 and 53455. First we will calculate the prime factors of 53447 and 53455.

Prime Factorization of 53447

Prime factors of 53447 are 19, 29, 97. Prime factorization of 53447 in exponential form is:

53447 = 191 × 291 × 971

Prime Factorization of 53455

Prime factors of 53455 are 5, 10691. Prime factorization of 53455 in exponential form is:

53455 = 51 × 106911

Now multiplying the highest exponent prime factors to calculate the LCM of 53447 and 53455.

LCM(53447,53455) = 191 × 291 × 971 × 51 × 106911
LCM(53447,53455) = 2857009385