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What is the Least Common Multiple of 42847 and 42855?

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 42847 and 42855 is 1836208185.

LCM(42847,42855) = 1836208185

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Least Common Multiple of 42847 and 42855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42847 and 42855, than apply into the LCM equation.

GCF(42847,42855) = 1
LCM(42847,42855) = ( 42847 × 42855) / 1
LCM(42847,42855) = 1836208185 / 1
LCM(42847,42855) = 1836208185

Least Common Multiple (LCM) of 42847 and 42855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42847 and 42855. First we will calculate the prime factors of 42847 and 42855.

Prime Factorization of 42847

Prime factors of 42847 are 7, 6121. Prime factorization of 42847 in exponential form is:

42847 = 71 × 61211

Prime Factorization of 42855

Prime factors of 42855 are 3, 5, 2857. Prime factorization of 42855 in exponential form is:

42855 = 31 × 51 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 42847 and 42855.

LCM(42847,42855) = 71 × 61211 × 31 × 51 × 28571
LCM(42847,42855) = 1836208185