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What is the Least Common Multiple of 56892 and 56896?

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 56892 and 56896 is 809231808.

LCM(56892,56896) = 809231808

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Least Common Multiple of 56892 and 56896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56892 and 56896, than apply into the LCM equation.

GCF(56892,56896) = 4
LCM(56892,56896) = ( 56892 × 56896) / 4
LCM(56892,56896) = 3236927232 / 4
LCM(56892,56896) = 809231808

Least Common Multiple (LCM) of 56892 and 56896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56892 and 56896. First we will calculate the prime factors of 56892 and 56896.

Prime Factorization of 56892

Prime factors of 56892 are 2, 3, 11, 431. Prime factorization of 56892 in exponential form is:

56892 = 22 × 31 × 111 × 4311

Prime Factorization of 56896

Prime factors of 56896 are 2, 7, 127. Prime factorization of 56896 in exponential form is:

56896 = 26 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 56892 and 56896.

LCM(56892,56896) = 26 × 31 × 111 × 4311 × 71 × 1271
LCM(56892,56896) = 809231808