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What is the Least Common Multiple of 55414 and 55426?

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 55414 and 55426 is 1535688182.

LCM(55414,55426) = 1535688182

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Least Common Multiple of 55414 and 55426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55414 and 55426, than apply into the LCM equation.

GCF(55414,55426) = 2
LCM(55414,55426) = ( 55414 × 55426) / 2
LCM(55414,55426) = 3071376364 / 2
LCM(55414,55426) = 1535688182

Least Common Multiple (LCM) of 55414 and 55426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55414 and 55426. First we will calculate the prime factors of 55414 and 55426.

Prime Factorization of 55414

Prime factors of 55414 are 2, 103, 269. Prime factorization of 55414 in exponential form is:

55414 = 21 × 1031 × 2691

Prime Factorization of 55426

Prime factors of 55426 are 2, 7, 37, 107. Prime factorization of 55426 in exponential form is:

55426 = 21 × 71 × 371 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 55414 and 55426.

LCM(55414,55426) = 21 × 1031 × 2691 × 71 × 371 × 1071
LCM(55414,55426) = 1535688182