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What is the Least Common Multiple of 56730 and 56744?

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 56730 and 56744 is 1609543560.

LCM(56730,56744) = 1609543560

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Least Common Multiple of 56730 and 56744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56730 and 56744, than apply into the LCM equation.

GCF(56730,56744) = 2
LCM(56730,56744) = ( 56730 × 56744) / 2
LCM(56730,56744) = 3219087120 / 2
LCM(56730,56744) = 1609543560

Least Common Multiple (LCM) of 56730 and 56744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56730 and 56744. First we will calculate the prime factors of 56730 and 56744.

Prime Factorization of 56730

Prime factors of 56730 are 2, 3, 5, 31, 61. Prime factorization of 56730 in exponential form is:

56730 = 21 × 31 × 51 × 311 × 611

Prime Factorization of 56744

Prime factors of 56744 are 2, 41, 173. Prime factorization of 56744 in exponential form is:

56744 = 23 × 411 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 56730 and 56744.

LCM(56730,56744) = 23 × 31 × 51 × 311 × 611 × 411 × 1731
LCM(56730,56744) = 1609543560