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What is the Least Common Multiple of 55042 and 55062?

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 55062 is 1515361302.

LCM(55042,55062) = 1515361302

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Least Common Multiple of 55042 and 55062 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 55062, than apply into the LCM equation.

GCF(55042,55062) = 2
LCM(55042,55062) = ( 55042 × 55062) / 2
LCM(55042,55062) = 3030722604 / 2
LCM(55042,55062) = 1515361302

Least Common Multiple (LCM) of 55042 and 55062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55042 and 55062. First we will calculate the prime factors of 55042 and 55062.

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 55062

Prime factors of 55062 are 2, 3, 7, 19, 23. Prime factorization of 55062 in exponential form is:

55062 = 21 × 32 × 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 55042 and 55062.

LCM(55042,55062) = 21 × 131 × 291 × 731 × 32 × 71 × 191 × 231
LCM(55042,55062) = 1515361302