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What is the Least Common Multiple of 56763 and 56780?

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 56763 and 56780 is 189588420.

LCM(56763,56780) = 189588420

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Least Common Multiple of 56763 and 56780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56763 and 56780, than apply into the LCM equation.

GCF(56763,56780) = 17
LCM(56763,56780) = ( 56763 × 56780) / 17
LCM(56763,56780) = 3223003140 / 17
LCM(56763,56780) = 189588420

Least Common Multiple (LCM) of 56763 and 56780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56763 and 56780. First we will calculate the prime factors of 56763 and 56780.

Prime Factorization of 56763

Prime factors of 56763 are 3, 7, 17, 53. Prime factorization of 56763 in exponential form is:

56763 = 32 × 71 × 171 × 531

Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 22 × 51 × 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 56763 and 56780.

LCM(56763,56780) = 32 × 71 × 171 × 531 × 22 × 51 × 1671
LCM(56763,56780) = 189588420