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What is the Least Common Multiple of 56499 and 56510?

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 56499 and 56510 is 3192758490.

LCM(56499,56510) = 3192758490

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Least Common Multiple of 56499 and 56510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56499 and 56510, than apply into the LCM equation.

GCF(56499,56510) = 1
LCM(56499,56510) = ( 56499 × 56510) / 1
LCM(56499,56510) = 3192758490 / 1
LCM(56499,56510) = 3192758490

Least Common Multiple (LCM) of 56499 and 56510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56499 and 56510. First we will calculate the prime factors of 56499 and 56510.

Prime Factorization of 56499

Prime factors of 56499 are 3, 37, 509. Prime factorization of 56499 in exponential form is:

56499 = 31 × 371 × 5091

Prime Factorization of 56510

Prime factors of 56510 are 2, 5, 5651. Prime factorization of 56510 in exponential form is:

56510 = 21 × 51 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 56499 and 56510.

LCM(56499,56510) = 31 × 371 × 5091 × 21 × 51 × 56511
LCM(56499,56510) = 3192758490