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What is the Least Common Multiple of 56488 and 56507?

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 56488 and 56507 is 3191967416.

LCM(56488,56507) = 3191967416

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Least Common Multiple of 56488 and 56507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56488 and 56507, than apply into the LCM equation.

GCF(56488,56507) = 1
LCM(56488,56507) = ( 56488 × 56507) / 1
LCM(56488,56507) = 3191967416 / 1
LCM(56488,56507) = 3191967416

Least Common Multiple (LCM) of 56488 and 56507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56488 and 56507. First we will calculate the prime factors of 56488 and 56507.

Prime Factorization of 56488

Prime factors of 56488 are 2, 23, 307. Prime factorization of 56488 in exponential form is:

56488 = 23 × 231 × 3071

Prime Factorization of 56507

Prime factors of 56507 are 11, 467. Prime factorization of 56507 in exponential form is:

56507 = 112 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 56488 and 56507.

LCM(56488,56507) = 23 × 231 × 3071 × 112 × 4671
LCM(56488,56507) = 3191967416