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What is the Least Common Multiple of 55778 and 55786?

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 55778 and 55786 is 1555815754.

LCM(55778,55786) = 1555815754

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Least Common Multiple of 55778 and 55786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55778 and 55786, than apply into the LCM equation.

GCF(55778,55786) = 2
LCM(55778,55786) = ( 55778 × 55786) / 2
LCM(55778,55786) = 3111631508 / 2
LCM(55778,55786) = 1555815754

Least Common Multiple (LCM) of 55778 and 55786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55778 and 55786. First we will calculate the prime factors of 55778 and 55786.

Prime Factorization of 55778

Prime factors of 55778 are 2, 167. Prime factorization of 55778 in exponential form is:

55778 = 21 × 1672

Prime Factorization of 55786

Prime factors of 55786 are 2, 27893. Prime factorization of 55786 in exponential form is:

55786 = 21 × 278931

Now multiplying the highest exponent prime factors to calculate the LCM of 55778 and 55786.

LCM(55778,55786) = 21 × 1672 × 278931
LCM(55778,55786) = 1555815754