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What is the Least Common Multiple of 56481 and 56496?

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 56481 and 56496 is 1063650192.

LCM(56481,56496) = 1063650192

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Least Common Multiple of 56481 and 56496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56481 and 56496, than apply into the LCM equation.

GCF(56481,56496) = 3
LCM(56481,56496) = ( 56481 × 56496) / 3
LCM(56481,56496) = 3190950576 / 3
LCM(56481,56496) = 1063650192

Least Common Multiple (LCM) of 56481 and 56496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56481 and 56496. First we will calculate the prime factors of 56481 and 56496.

Prime Factorization of 56481

Prime factors of 56481 are 3, 67, 281. Prime factorization of 56481 in exponential form is:

56481 = 31 × 671 × 2811

Prime Factorization of 56496

Prime factors of 56496 are 2, 3, 11, 107. Prime factorization of 56496 in exponential form is:

56496 = 24 × 31 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 56481 and 56496.

LCM(56481,56496) = 31 × 671 × 2811 × 24 × 111 × 1071
LCM(56481,56496) = 1063650192