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What is the Least Common Multiple of 54292 and 54304?

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 54292 and 54304 is 737068192.

LCM(54292,54304) = 737068192

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Least Common Multiple of 54292 and 54304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54292 and 54304, than apply into the LCM equation.

GCF(54292,54304) = 4
LCM(54292,54304) = ( 54292 × 54304) / 4
LCM(54292,54304) = 2948272768 / 4
LCM(54292,54304) = 737068192

Least Common Multiple (LCM) of 54292 and 54304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54292 and 54304. First we will calculate the prime factors of 54292 and 54304.

Prime Factorization of 54292

Prime factors of 54292 are 2, 7, 277. Prime factorization of 54292 in exponential form is:

54292 = 22 × 72 × 2771

Prime Factorization of 54304

Prime factors of 54304 are 2, 1697. Prime factorization of 54304 in exponential form is:

54304 = 25 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 54292 and 54304.

LCM(54292,54304) = 25 × 72 × 2771 × 16971
LCM(54292,54304) = 737068192