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What is the Least Common Multiple of 56495 and 56499?

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 56495 and 56499 is 3191911005.

LCM(56495,56499) = 3191911005

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Least Common Multiple of 56495 and 56499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56495 and 56499, than apply into the LCM equation.

GCF(56495,56499) = 1
LCM(56495,56499) = ( 56495 × 56499) / 1
LCM(56495,56499) = 3191911005 / 1
LCM(56495,56499) = 3191911005

Least Common Multiple (LCM) of 56495 and 56499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56495 and 56499. First we will calculate the prime factors of 56495 and 56499.

Prime Factorization of 56495

Prime factors of 56495 are 5, 11299. Prime factorization of 56495 in exponential form is:

56495 = 51 × 112991

Prime Factorization of 56499

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

56499 = 31 × 371 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 56495 and 56499.

LCM(56495,56499) = 51 × 112991 × 31 × 371 × 5091
LCM(56495,56499) = 3191911005