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What is the Least Common Multiple of 68877 and 68891?

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 68877 and 68891 is 4745005407.

LCM(68877,68891) = 4745005407

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Least Common Multiple of 68877 and 68891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68877 and 68891, than apply into the LCM equation.

GCF(68877,68891) = 1
LCM(68877,68891) = ( 68877 × 68891) / 1
LCM(68877,68891) = 4745005407 / 1
LCM(68877,68891) = 4745005407

Least Common Multiple (LCM) of 68877 and 68891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68877 and 68891. First we will calculate the prime factors of 68877 and 68891.

Prime Factorization of 68877

Prime factors of 68877 are 3, 2551. Prime factorization of 68877 in exponential form is:

68877 = 33 × 25511

Prime Factorization of 68891

Prime factors of 68891 are 68891. Prime factorization of 68891 in exponential form is:

68891 = 688911

Now multiplying the highest exponent prime factors to calculate the LCM of 68877 and 68891.

LCM(68877,68891) = 33 × 25511 × 688911
LCM(68877,68891) = 4745005407