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What is the Least Common Multiple of 55088 and 55098?

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 55088 and 55098 is 1517619312.

LCM(55088,55098) = 1517619312

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Least Common Multiple of 55088 and 55098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55088 and 55098, than apply into the LCM equation.

GCF(55088,55098) = 2
LCM(55088,55098) = ( 55088 × 55098) / 2
LCM(55088,55098) = 3035238624 / 2
LCM(55088,55098) = 1517619312

Least Common Multiple (LCM) of 55088 and 55098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55088 and 55098. First we will calculate the prime factors of 55088 and 55098.

Prime Factorization of 55088

Prime factors of 55088 are 2, 11, 313. Prime factorization of 55088 in exponential form is:

55088 = 24 × 111 × 3131

Prime Factorization of 55098

Prime factors of 55098 are 2, 3, 3061. Prime factorization of 55098 in exponential form is:

55098 = 21 × 32 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 55088 and 55098.

LCM(55088,55098) = 24 × 111 × 3131 × 32 × 30611
LCM(55088,55098) = 1517619312