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What is the Least Common Multiple of 55042 and 55057?

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 55042 and 55057 is 3030447394.

LCM(55042,55057) = 3030447394

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Least Common Multiple of 55042 and 55057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55042 and 55057, than apply into the LCM equation.

GCF(55042,55057) = 1
LCM(55042,55057) = ( 55042 × 55057) / 1
LCM(55042,55057) = 3030447394 / 1
LCM(55042,55057) = 3030447394

Least Common Multiple (LCM) of 55042 and 55057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55042 and 55057. First we will calculate the prime factors of 55042 and 55057.

Prime Factorization of 55042

Prime factors of 55042 are 2, 13, 29, 73. Prime factorization of 55042 in exponential form is:

55042 = 21 × 131 × 291 × 731

Prime Factorization of 55057

Prime factors of 55057 are 55057. Prime factorization of 55057 in exponential form is:

55057 = 550571

Now multiplying the highest exponent prime factors to calculate the LCM of 55042 and 55057.

LCM(55042,55057) = 21 × 131 × 291 × 731 × 550571
LCM(55042,55057) = 3030447394