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What is the Least Common Multiple of 49223 and 49231?

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 49223 and 49231 is 2423297513.

LCM(49223,49231) = 2423297513

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Least Common Multiple of 49223 and 49231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49223 and 49231, than apply into the LCM equation.

GCF(49223,49231) = 1
LCM(49223,49231) = ( 49223 × 49231) / 1
LCM(49223,49231) = 2423297513 / 1
LCM(49223,49231) = 2423297513

Least Common Multiple (LCM) of 49223 and 49231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49223 and 49231. First we will calculate the prime factors of 49223 and 49231.

Prime Factorization of 49223

Prime factors of 49223 are 49223. Prime factorization of 49223 in exponential form is:

49223 = 492231

Prime Factorization of 49231

Prime factors of 49231 are 7, 13, 541. Prime factorization of 49231 in exponential form is:

49231 = 71 × 131 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 49223 and 49231.

LCM(49223,49231) = 492231 × 71 × 131 × 5411
LCM(49223,49231) = 2423297513