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What is the Least Common Multiple of 54224 and 54229?

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 54224 and 54229 is 2940513296.

LCM(54224,54229) = 2940513296

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Least Common Multiple of 54224 and 54229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54224 and 54229, than apply into the LCM equation.

GCF(54224,54229) = 1
LCM(54224,54229) = ( 54224 × 54229) / 1
LCM(54224,54229) = 2940513296 / 1
LCM(54224,54229) = 2940513296

Least Common Multiple (LCM) of 54224 and 54229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54224 and 54229. First we will calculate the prime factors of 54224 and 54229.

Prime Factorization of 54224

Prime factors of 54224 are 2, 3389. Prime factorization of 54224 in exponential form is:

54224 = 24 × 33891

Prime Factorization of 54229

Prime factors of 54229 are 7, 61, 127. Prime factorization of 54229 in exponential form is:

54229 = 71 × 611 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 54224 and 54229.

LCM(54224,54229) = 24 × 33891 × 71 × 611 × 1271
LCM(54224,54229) = 2940513296