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What is the Least Common Multiple of 42847 and 42861?

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 42861 is 262352181.

LCM(42847,42861) = 262352181

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Least Common Multiple of 42847 and 42861 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 42861, than apply into the LCM equation.

GCF(42847,42861) = 7
LCM(42847,42861) = ( 42847 × 42861) / 7
LCM(42847,42861) = 1836465267 / 7
LCM(42847,42861) = 262352181

Least Common Multiple (LCM) of 42847 and 42861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42847 and 42861. First we will calculate the prime factors of 42847 and 42861.

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 42861

Prime factors of 42861 are 3, 7, 13, 157. Prime factorization of 42861 in exponential form is:

42861 = 31 × 71 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 42847 and 42861.

LCM(42847,42861) = 71 × 61211 × 31 × 131 × 1571
LCM(42847,42861) = 262352181