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What is the Least Common Multiple of 42841 and 42851?

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 42841 and 42851 is 1835779691.

LCM(42841,42851) = 1835779691

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Least Common Multiple of 42841 and 42851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42841 and 42851, than apply into the LCM equation.

GCF(42841,42851) = 1
LCM(42841,42851) = ( 42841 × 42851) / 1
LCM(42841,42851) = 1835779691 / 1
LCM(42841,42851) = 1835779691

Least Common Multiple (LCM) of 42841 and 42851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42841 and 42851. First we will calculate the prime factors of 42841 and 42851.

Prime Factorization of 42841

Prime factors of 42841 are 42841. Prime factorization of 42841 in exponential form is:

42841 = 428411

Prime Factorization of 42851

Prime factors of 42851 are 73, 587. Prime factorization of 42851 in exponential form is:

42851 = 731 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 42841 and 42851.

LCM(42841,42851) = 428411 × 731 × 5871
LCM(42841,42851) = 1835779691