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What is the Least Common Multiple of 55642 and 55661?

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 55642 and 55661 is 3097089362.

LCM(55642,55661) = 3097089362

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Least Common Multiple of 55642 and 55661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55642 and 55661, than apply into the LCM equation.

GCF(55642,55661) = 1
LCM(55642,55661) = ( 55642 × 55661) / 1
LCM(55642,55661) = 3097089362 / 1
LCM(55642,55661) = 3097089362

Least Common Multiple (LCM) of 55642 and 55661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55642 and 55661. First we will calculate the prime factors of 55642 and 55661.

Prime Factorization of 55642

Prime factors of 55642 are 2, 43, 647. Prime factorization of 55642 in exponential form is:

55642 = 21 × 431 × 6471

Prime Factorization of 55661

Prime factors of 55661 are 55661. Prime factorization of 55661 in exponential form is:

55661 = 556611

Now multiplying the highest exponent prime factors to calculate the LCM of 55642 and 55661.

LCM(55642,55661) = 21 × 431 × 6471 × 556611
LCM(55642,55661) = 3097089362