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What is the Least Common Multiple of 54230 and 54239?

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 54230 and 54239 is 2941380970.

LCM(54230,54239) = 2941380970

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Least Common Multiple of 54230 and 54239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54230 and 54239, than apply into the LCM equation.

GCF(54230,54239) = 1
LCM(54230,54239) = ( 54230 × 54239) / 1
LCM(54230,54239) = 2941380970 / 1
LCM(54230,54239) = 2941380970

Least Common Multiple (LCM) of 54230 and 54239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54230 and 54239. First we will calculate the prime factors of 54230 and 54239.

Prime Factorization of 54230

Prime factors of 54230 are 2, 5, 11, 17, 29. Prime factorization of 54230 in exponential form is:

54230 = 21 × 51 × 111 × 171 × 291

Prime Factorization of 54239

Prime factors of 54239 are 73, 743. Prime factorization of 54239 in exponential form is:

54239 = 731 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 54230 and 54239.

LCM(54230,54239) = 21 × 51 × 111 × 171 × 291 × 731 × 7431
LCM(54230,54239) = 2941380970