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What is the Least Common Multiple of 55016 and 55021?

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 55016 and 55021 is 3027035336.

LCM(55016,55021) = 3027035336

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Least Common Multiple of 55016 and 55021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55016 and 55021, than apply into the LCM equation.

GCF(55016,55021) = 1
LCM(55016,55021) = ( 55016 × 55021) / 1
LCM(55016,55021) = 3027035336 / 1
LCM(55016,55021) = 3027035336

Least Common Multiple (LCM) of 55016 and 55021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55016 and 55021. First we will calculate the prime factors of 55016 and 55021.

Prime Factorization of 55016

Prime factors of 55016 are 2, 13, 23. Prime factorization of 55016 in exponential form is:

55016 = 23 × 131 × 232

Prime Factorization of 55021

Prime factors of 55021 are 55021. Prime factorization of 55021 in exponential form is:

55021 = 550211

Now multiplying the highest exponent prime factors to calculate the LCM of 55016 and 55021.

LCM(55016,55021) = 23 × 131 × 232 × 550211
LCM(55016,55021) = 3027035336