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What is the Least Common Multiple of 56894 and 56899?

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 56894 and 56899 is 3237211706.

LCM(56894,56899) = 3237211706

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Least Common Multiple of 56894 and 56899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56894 and 56899, than apply into the LCM equation.

GCF(56894,56899) = 1
LCM(56894,56899) = ( 56894 × 56899) / 1
LCM(56894,56899) = 3237211706 / 1
LCM(56894,56899) = 3237211706

Least Common Multiple (LCM) of 56894 and 56899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56894 and 56899. First we will calculate the prime factors of 56894 and 56899.

Prime Factorization of 56894

Prime factors of 56894 are 2, 28447. Prime factorization of 56894 in exponential form is:

56894 = 21 × 284471

Prime Factorization of 56899

Prime factors of 56899 are 17, 3347. Prime factorization of 56899 in exponential form is:

56899 = 171 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 56894 and 56899.

LCM(56894,56899) = 21 × 284471 × 171 × 33471
LCM(56894,56899) = 3237211706