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What is the Least Common Multiple of 55016 and 55033?

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 55033 is 3027695528.

LCM(55016,55033) = 3027695528

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Least Common Multiple of 55016 and 55033 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 55033, than apply into the LCM equation.

GCF(55016,55033) = 1
LCM(55016,55033) = ( 55016 × 55033) / 1
LCM(55016,55033) = 3027695528 / 1
LCM(55016,55033) = 3027695528

Least Common Multiple (LCM) of 55016 and 55033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55016 and 55033. First we will calculate the prime factors of 55016 and 55033.

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 55033

Prime factors of 55033 are 11, 5003. Prime factorization of 55033 in exponential form is:

55033 = 111 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 55016 and 55033.

LCM(55016,55033) = 23 × 131 × 232 × 111 × 50031
LCM(55016,55033) = 3027695528