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What is the Least Common Multiple of 45176 and 45192?

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 45176 and 45192 is 255199224.

LCM(45176,45192) = 255199224

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Least Common Multiple of 45176 and 45192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45176 and 45192, than apply into the LCM equation.

GCF(45176,45192) = 8
LCM(45176,45192) = ( 45176 × 45192) / 8
LCM(45176,45192) = 2041593792 / 8
LCM(45176,45192) = 255199224

Least Common Multiple (LCM) of 45176 and 45192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45176 and 45192. First we will calculate the prime factors of 45176 and 45192.

Prime Factorization of 45176

Prime factors of 45176 are 2, 5647. Prime factorization of 45176 in exponential form is:

45176 = 23 × 56471

Prime Factorization of 45192

Prime factors of 45192 are 2, 3, 7, 269. Prime factorization of 45192 in exponential form is:

45192 = 23 × 31 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 45176 and 45192.

LCM(45176,45192) = 23 × 56471 × 31 × 71 × 2691
LCM(45176,45192) = 255199224