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What is the Least Common Multiple of 56812 and 56818?

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 56812 and 56818 is 1613972108.

LCM(56812,56818) = 1613972108

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Least Common Multiple of 56812 and 56818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56812 and 56818, than apply into the LCM equation.

GCF(56812,56818) = 2
LCM(56812,56818) = ( 56812 × 56818) / 2
LCM(56812,56818) = 3227944216 / 2
LCM(56812,56818) = 1613972108

Least Common Multiple (LCM) of 56812 and 56818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56812 and 56818. First we will calculate the prime factors of 56812 and 56818.

Prime Factorization of 56812

Prime factors of 56812 are 2, 7, 2029. Prime factorization of 56812 in exponential form is:

56812 = 22 × 71 × 20291

Prime Factorization of 56818

Prime factors of 56818 are 2, 28409. Prime factorization of 56818 in exponential form is:

56818 = 21 × 284091

Now multiplying the highest exponent prime factors to calculate the LCM of 56812 and 56818.

LCM(56812,56818) = 22 × 71 × 20291 × 284091
LCM(56812,56818) = 1613972108