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What is the Least Common Multiple of 55797 and 55812?

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 55797 and 55812 is 1038047388.

LCM(55797,55812) = 1038047388

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Least Common Multiple of 55797 and 55812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55797 and 55812, than apply into the LCM equation.

GCF(55797,55812) = 3
LCM(55797,55812) = ( 55797 × 55812) / 3
LCM(55797,55812) = 3114142164 / 3
LCM(55797,55812) = 1038047388

Least Common Multiple (LCM) of 55797 and 55812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55797 and 55812. First we will calculate the prime factors of 55797 and 55812.

Prime Factorization of 55797

Prime factors of 55797 are 3, 7, 2657. Prime factorization of 55797 in exponential form is:

55797 = 31 × 71 × 26571

Prime Factorization of 55812

Prime factors of 55812 are 2, 3, 4651. Prime factorization of 55812 in exponential form is:

55812 = 22 × 31 × 46511

Now multiplying the highest exponent prime factors to calculate the LCM of 55797 and 55812.

LCM(55797,55812) = 31 × 71 × 26571 × 22 × 46511
LCM(55797,55812) = 1038047388