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What is the Least Common Multiple of 56262 and 56278?

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 56262 and 56278 is 1583156418.

LCM(56262,56278) = 1583156418

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Least Common Multiple of 56262 and 56278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56262 and 56278, than apply into the LCM equation.

GCF(56262,56278) = 2
LCM(56262,56278) = ( 56262 × 56278) / 2
LCM(56262,56278) = 3166312836 / 2
LCM(56262,56278) = 1583156418

Least Common Multiple (LCM) of 56262 and 56278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56262 and 56278. First we will calculate the prime factors of 56262 and 56278.

Prime Factorization of 56262

Prime factors of 56262 are 2, 3, 9377. Prime factorization of 56262 in exponential form is:

56262 = 21 × 31 × 93771

Prime Factorization of 56278

Prime factors of 56278 are 2, 19, 1481. Prime factorization of 56278 in exponential form is:

56278 = 21 × 191 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 56262 and 56278.

LCM(56262,56278) = 21 × 31 × 93771 × 191 × 14811
LCM(56262,56278) = 1583156418