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What is the Least Common Multiple of 54320 and 54331?

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 54320 and 54331 is 2951259920.

LCM(54320,54331) = 2951259920

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Least Common Multiple of 54320 and 54331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54320 and 54331, than apply into the LCM equation.

GCF(54320,54331) = 1
LCM(54320,54331) = ( 54320 × 54331) / 1
LCM(54320,54331) = 2951259920 / 1
LCM(54320,54331) = 2951259920

Least Common Multiple (LCM) of 54320 and 54331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54320 and 54331. First we will calculate the prime factors of 54320 and 54331.

Prime Factorization of 54320

Prime factors of 54320 are 2, 5, 7, 97. Prime factorization of 54320 in exponential form is:

54320 = 24 × 51 × 71 × 971

Prime Factorization of 54331

Prime factors of 54331 are 54331. Prime factorization of 54331 in exponential form is:

54331 = 543311

Now multiplying the highest exponent prime factors to calculate the LCM of 54320 and 54331.

LCM(54320,54331) = 24 × 51 × 71 × 971 × 543311
LCM(54320,54331) = 2951259920