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What is the Least Common Multiple of 50866 and 50886?

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 50866 and 50886 is 1294183638.

LCM(50866,50886) = 1294183638

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Least Common Multiple of 50866 and 50886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50866 and 50886, than apply into the LCM equation.

GCF(50866,50886) = 2
LCM(50866,50886) = ( 50866 × 50886) / 2
LCM(50866,50886) = 2588367276 / 2
LCM(50866,50886) = 1294183638

Least Common Multiple (LCM) of 50866 and 50886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50866 and 50886. First we will calculate the prime factors of 50866 and 50886.

Prime Factorization of 50866

Prime factors of 50866 are 2, 29, 877. Prime factorization of 50866 in exponential form is:

50866 = 21 × 291 × 8771

Prime Factorization of 50886

Prime factors of 50886 are 2, 3, 11, 257. Prime factorization of 50886 in exponential form is:

50886 = 21 × 32 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 50866 and 50886.

LCM(50866,50886) = 21 × 291 × 8771 × 32 × 111 × 2571
LCM(50866,50886) = 1294183638