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What is the Least Common Multiple of 45238 and 45249?

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 45238 and 45249 is 2046974262.

LCM(45238,45249) = 2046974262

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Least Common Multiple of 45238 and 45249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45238 and 45249, than apply into the LCM equation.

GCF(45238,45249) = 1
LCM(45238,45249) = ( 45238 × 45249) / 1
LCM(45238,45249) = 2046974262 / 1
LCM(45238,45249) = 2046974262

Least Common Multiple (LCM) of 45238 and 45249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45238 and 45249. First we will calculate the prime factors of 45238 and 45249.

Prime Factorization of 45238

Prime factors of 45238 are 2, 22619. Prime factorization of 45238 in exponential form is:

45238 = 21 × 226191

Prime Factorization of 45249

Prime factors of 45249 are 3, 15083. Prime factorization of 45249 in exponential form is:

45249 = 31 × 150831

Now multiplying the highest exponent prime factors to calculate the LCM of 45238 and 45249.

LCM(45238,45249) = 21 × 226191 × 31 × 150831
LCM(45238,45249) = 2046974262