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What is the Least Common Multiple of 55026 and 55032?

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 55026 and 55032 is 504698472.

LCM(55026,55032) = 504698472

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Least Common Multiple of 55026 and 55032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55026 and 55032, than apply into the LCM equation.

GCF(55026,55032) = 6
LCM(55026,55032) = ( 55026 × 55032) / 6
LCM(55026,55032) = 3028190832 / 6
LCM(55026,55032) = 504698472

Least Common Multiple (LCM) of 55026 and 55032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55026 and 55032. First we will calculate the prime factors of 55026 and 55032.

Prime Factorization of 55026

Prime factors of 55026 are 2, 3, 1019. Prime factorization of 55026 in exponential form is:

55026 = 21 × 33 × 10191

Prime Factorization of 55032

Prime factors of 55032 are 2, 3, 2293. Prime factorization of 55032 in exponential form is:

55032 = 23 × 31 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 55026 and 55032.

LCM(55026,55032) = 23 × 33 × 10191 × 22931
LCM(55026,55032) = 504698472