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What is the Least Common Multiple of 55654 and 55666?

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 55654 and 55666 is 1549017782.

LCM(55654,55666) = 1549017782

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Least Common Multiple of 55654 and 55666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55654 and 55666, than apply into the LCM equation.

GCF(55654,55666) = 2
LCM(55654,55666) = ( 55654 × 55666) / 2
LCM(55654,55666) = 3098035564 / 2
LCM(55654,55666) = 1549017782

Least Common Multiple (LCM) of 55654 and 55666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55654 and 55666. First we will calculate the prime factors of 55654 and 55666.

Prime Factorization of 55654

Prime factors of 55654 are 2, 27827. Prime factorization of 55654 in exponential form is:

55654 = 21 × 278271

Prime Factorization of 55666

Prime factors of 55666 are 2, 13, 2141. Prime factorization of 55666 in exponential form is:

55666 = 21 × 131 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 55654 and 55666.

LCM(55654,55666) = 21 × 278271 × 131 × 21411
LCM(55654,55666) = 1549017782