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What is the Least Common Multiple of 42911 and 42927?

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 42911 and 42927 is 1842040497.

LCM(42911,42927) = 1842040497

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Least Common Multiple of 42911 and 42927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42911 and 42927, than apply into the LCM equation.

GCF(42911,42927) = 1
LCM(42911,42927) = ( 42911 × 42927) / 1
LCM(42911,42927) = 1842040497 / 1
LCM(42911,42927) = 1842040497

Least Common Multiple (LCM) of 42911 and 42927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42911 and 42927. First we will calculate the prime factors of 42911 and 42927.

Prime Factorization of 42911

Prime factors of 42911 are 11, 47, 83. Prime factorization of 42911 in exponential form is:

42911 = 111 × 471 × 831

Prime Factorization of 42927

Prime factors of 42927 are 3, 41, 349. Prime factorization of 42927 in exponential form is:

42927 = 31 × 411 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 42911 and 42927.

LCM(42911,42927) = 111 × 471 × 831 × 31 × 411 × 3491
LCM(42911,42927) = 1842040497