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What is the Least Common Multiple of 42886 and 42895?

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 42886 and 42895 is 1839594970.

LCM(42886,42895) = 1839594970

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Least Common Multiple of 42886 and 42895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42886 and 42895, than apply into the LCM equation.

GCF(42886,42895) = 1
LCM(42886,42895) = ( 42886 × 42895) / 1
LCM(42886,42895) = 1839594970 / 1
LCM(42886,42895) = 1839594970

Least Common Multiple (LCM) of 42886 and 42895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42886 and 42895. First we will calculate the prime factors of 42886 and 42895.

Prime Factorization of 42886

Prime factors of 42886 are 2, 41, 523. Prime factorization of 42886 in exponential form is:

42886 = 21 × 411 × 5231

Prime Factorization of 42895

Prime factors of 42895 are 5, 23, 373. Prime factorization of 42895 in exponential form is:

42895 = 51 × 231 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 42886 and 42895.

LCM(42886,42895) = 21 × 411 × 5231 × 51 × 231 × 3731
LCM(42886,42895) = 1839594970