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What is the Least Common Multiple of 56903 and 56920?

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 56903 and 56920 is 3238918760.

LCM(56903,56920) = 3238918760

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Least Common Multiple of 56903 and 56920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56903 and 56920, than apply into the LCM equation.

GCF(56903,56920) = 1
LCM(56903,56920) = ( 56903 × 56920) / 1
LCM(56903,56920) = 3238918760 / 1
LCM(56903,56920) = 3238918760

Least Common Multiple (LCM) of 56903 and 56920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56903 and 56920. First we will calculate the prime factors of 56903 and 56920.

Prime Factorization of 56903

Prime factors of 56903 are 7, 11, 739. Prime factorization of 56903 in exponential form is:

56903 = 71 × 111 × 7391

Prime Factorization of 56920

Prime factors of 56920 are 2, 5, 1423. Prime factorization of 56920 in exponential form is:

56920 = 23 × 51 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 56903 and 56920.

LCM(56903,56920) = 71 × 111 × 7391 × 23 × 51 × 14231
LCM(56903,56920) = 3238918760