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What is the Least Common Multiple of 55022 and 55034?

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 55022 and 55034 is 1514040374.

LCM(55022,55034) = 1514040374

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Least Common Multiple of 55022 and 55034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55022 and 55034, than apply into the LCM equation.

GCF(55022,55034) = 2
LCM(55022,55034) = ( 55022 × 55034) / 2
LCM(55022,55034) = 3028080748 / 2
LCM(55022,55034) = 1514040374

Least Common Multiple (LCM) of 55022 and 55034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55022 and 55034. First we will calculate the prime factors of 55022 and 55034.

Prime Factorization of 55022

Prime factors of 55022 are 2, 11, 41, 61. Prime factorization of 55022 in exponential form is:

55022 = 21 × 111 × 411 × 611

Prime Factorization of 55034

Prime factors of 55034 are 2, 7, 3931. Prime factorization of 55034 in exponential form is:

55034 = 21 × 71 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 55022 and 55034.

LCM(55022,55034) = 21 × 111 × 411 × 611 × 71 × 39311
LCM(55022,55034) = 1514040374