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What is the Least Common Multiple of 11254 and 11270?

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 11254 and 11270 is 63416290.

LCM(11254,11270) = 63416290

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Least Common Multiple of 11254 and 11270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11254 and 11270, than apply into the LCM equation.

GCF(11254,11270) = 2
LCM(11254,11270) = ( 11254 × 11270) / 2
LCM(11254,11270) = 126832580 / 2
LCM(11254,11270) = 63416290

Least Common Multiple (LCM) of 11254 and 11270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11254 and 11270. First we will calculate the prime factors of 11254 and 11270.

Prime Factorization of 11254

Prime factors of 11254 are 2, 17, 331. Prime factorization of 11254 in exponential form is:

11254 = 21 × 171 × 3311

Prime Factorization of 11270

Prime factors of 11270 are 2, 5, 7, 23. Prime factorization of 11270 in exponential form is:

11270 = 21 × 51 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11254 and 11270.

LCM(11254,11270) = 21 × 171 × 3311 × 51 × 72 × 231
LCM(11254,11270) = 63416290