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What is the Least Common Multiple of 56469 and 56485?

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 56469 and 56485 is 3189651465.

LCM(56469,56485) = 3189651465

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Least Common Multiple of 56469 and 56485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56469 and 56485, than apply into the LCM equation.

GCF(56469,56485) = 1
LCM(56469,56485) = ( 56469 × 56485) / 1
LCM(56469,56485) = 3189651465 / 1
LCM(56469,56485) = 3189651465

Least Common Multiple (LCM) of 56469 and 56485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56469 and 56485. First we will calculate the prime factors of 56469 and 56485.

Prime Factorization of 56469

Prime factors of 56469 are 3, 7, 2689. Prime factorization of 56469 in exponential form is:

56469 = 31 × 71 × 26891

Prime Factorization of 56485

Prime factors of 56485 are 5, 11, 13, 79. Prime factorization of 56485 in exponential form is:

56485 = 51 × 111 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 56469 and 56485.

LCM(56469,56485) = 31 × 71 × 26891 × 51 × 111 × 131 × 791
LCM(56469,56485) = 3189651465