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What is the Least Common Multiple of 55067 and 55074?

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 55067 and 55074 is 3032759958.

LCM(55067,55074) = 3032759958

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Least Common Multiple of 55067 and 55074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55067 and 55074, than apply into the LCM equation.

GCF(55067,55074) = 1
LCM(55067,55074) = ( 55067 × 55074) / 1
LCM(55067,55074) = 3032759958 / 1
LCM(55067,55074) = 3032759958

Least Common Multiple (LCM) of 55067 and 55074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55067 and 55074. First we will calculate the prime factors of 55067 and 55074.

Prime Factorization of 55067

Prime factors of 55067 are 53, 1039. Prime factorization of 55067 in exponential form is:

55067 = 531 × 10391

Prime Factorization of 55074

Prime factors of 55074 are 2, 3, 67, 137. Prime factorization of 55074 in exponential form is:

55074 = 21 × 31 × 671 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 55067 and 55074.

LCM(55067,55074) = 531 × 10391 × 21 × 31 × 671 × 1371
LCM(55067,55074) = 3032759958