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What is the Least Common Multiple of 55066 and 55076?

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 55066 and 55076 is 1516407508.

LCM(55066,55076) = 1516407508

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Least Common Multiple of 55066 and 55076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55066 and 55076, than apply into the LCM equation.

GCF(55066,55076) = 2
LCM(55066,55076) = ( 55066 × 55076) / 2
LCM(55066,55076) = 3032815016 / 2
LCM(55066,55076) = 1516407508

Least Common Multiple (LCM) of 55066 and 55076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55066 and 55076. First we will calculate the prime factors of 55066 and 55076.

Prime Factorization of 55066

Prime factors of 55066 are 2, 11, 2503. Prime factorization of 55066 in exponential form is:

55066 = 21 × 111 × 25031

Prime Factorization of 55076

Prime factors of 55076 are 2, 7, 281. Prime factorization of 55076 in exponential form is:

55076 = 22 × 72 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 55066 and 55076.

LCM(55066,55076) = 22 × 111 × 25031 × 72 × 2811
LCM(55066,55076) = 1516407508