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What is the Least Common Multiple of 42927 and 42947?

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 42927 and 42947 is 1843585869.

LCM(42927,42947) = 1843585869

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Least Common Multiple of 42927 and 42947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42927 and 42947, than apply into the LCM equation.

GCF(42927,42947) = 1
LCM(42927,42947) = ( 42927 × 42947) / 1
LCM(42927,42947) = 1843585869 / 1
LCM(42927,42947) = 1843585869

Least Common Multiple (LCM) of 42927 and 42947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42927 and 42947. First we will calculate the prime factors of 42927 and 42947.

Prime Factorization of 42927

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

42927 = 31 × 411 × 3491

Prime Factorization of 42947

Prime factors of 42947 are 67, 641. Prime factorization of 42947 in exponential form is:

42947 = 671 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 42927 and 42947.

LCM(42927,42947) = 31 × 411 × 3491 × 671 × 6411
LCM(42927,42947) = 1843585869