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What is the Least Common Multiple of 42832 and 42847?

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 42832 and 42847 is 1835222704.

LCM(42832,42847) = 1835222704

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Least Common Multiple of 42832 and 42847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42832 and 42847, than apply into the LCM equation.

GCF(42832,42847) = 1
LCM(42832,42847) = ( 42832 × 42847) / 1
LCM(42832,42847) = 1835222704 / 1
LCM(42832,42847) = 1835222704

Least Common Multiple (LCM) of 42832 and 42847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42832 and 42847. First we will calculate the prime factors of 42832 and 42847.

Prime Factorization of 42832

Prime factors of 42832 are 2, 2677. Prime factorization of 42832 in exponential form is:

42832 = 24 × 26771

Prime Factorization of 42847

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

42847 = 71 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 42832 and 42847.

LCM(42832,42847) = 24 × 26771 × 71 × 61211
LCM(42832,42847) = 1835222704