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What is the Least Common Multiple of 56898 and 56912?

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 56898 and 56912 is 1619089488.

LCM(56898,56912) = 1619089488

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Least Common Multiple of 56898 and 56912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56898 and 56912, than apply into the LCM equation.

GCF(56898,56912) = 2
LCM(56898,56912) = ( 56898 × 56912) / 2
LCM(56898,56912) = 3238178976 / 2
LCM(56898,56912) = 1619089488

Least Common Multiple (LCM) of 56898 and 56912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56898 and 56912. First we will calculate the prime factors of 56898 and 56912.

Prime Factorization of 56898

Prime factors of 56898 are 2, 3, 29, 109. Prime factorization of 56898 in exponential form is:

56898 = 21 × 32 × 291 × 1091

Prime Factorization of 56912

Prime factors of 56912 are 2, 3557. Prime factorization of 56912 in exponential form is:

56912 = 24 × 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 56898 and 56912.

LCM(56898,56912) = 24 × 32 × 291 × 1091 × 35571
LCM(56898,56912) = 1619089488