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What is the Least Common Multiple of 56472 and 56486?

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 56472 and 56486 is 1594938696.

LCM(56472,56486) = 1594938696

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Least Common Multiple of 56472 and 56486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56472 and 56486, than apply into the LCM equation.

GCF(56472,56486) = 2
LCM(56472,56486) = ( 56472 × 56486) / 2
LCM(56472,56486) = 3189877392 / 2
LCM(56472,56486) = 1594938696

Least Common Multiple (LCM) of 56472 and 56486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56472 and 56486. First we will calculate the prime factors of 56472 and 56486.

Prime Factorization of 56472

Prime factors of 56472 are 2, 3, 13, 181. Prime factorization of 56472 in exponential form is:

56472 = 23 × 31 × 131 × 1811

Prime Factorization of 56486

Prime factors of 56486 are 2, 61, 463. Prime factorization of 56486 in exponential form is:

56486 = 21 × 611 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 56472 and 56486.

LCM(56472,56486) = 23 × 31 × 131 × 1811 × 611 × 4631
LCM(56472,56486) = 1594938696