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What is the Least Common Multiple of 54032 and 54044?

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 54032 and 54044 is 730026352.

LCM(54032,54044) = 730026352

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Least Common Multiple of 54032 and 54044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54032 and 54044, than apply into the LCM equation.

GCF(54032,54044) = 4
LCM(54032,54044) = ( 54032 × 54044) / 4
LCM(54032,54044) = 2920105408 / 4
LCM(54032,54044) = 730026352

Least Common Multiple (LCM) of 54032 and 54044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54032 and 54044. First we will calculate the prime factors of 54032 and 54044.

Prime Factorization of 54032

Prime factors of 54032 are 2, 11, 307. Prime factorization of 54032 in exponential form is:

54032 = 24 × 111 × 3071

Prime Factorization of 54044

Prime factors of 54044 are 2, 59, 229. Prime factorization of 54044 in exponential form is:

54044 = 22 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 54032 and 54044.

LCM(54032,54044) = 24 × 111 × 3071 × 591 × 2291
LCM(54032,54044) = 730026352