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What is the Least Common Multiple of 77873 and 77885?

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 77873 and 77885 is 6065138605.

LCM(77873,77885) = 6065138605

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Least Common Multiple of 77873 and 77885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77873 and 77885, than apply into the LCM equation.

GCF(77873,77885) = 1
LCM(77873,77885) = ( 77873 × 77885) / 1
LCM(77873,77885) = 6065138605 / 1
LCM(77873,77885) = 6065138605

Least Common Multiple (LCM) of 77873 and 77885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77873 and 77885. First we will calculate the prime factors of 77873 and 77885.

Prime Factorization of 77873

Prime factors of 77873 are 43, 1811. Prime factorization of 77873 in exponential form is:

77873 = 431 × 18111

Prime Factorization of 77885

Prime factors of 77885 are 5, 37, 421. Prime factorization of 77885 in exponential form is:

77885 = 51 × 371 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 77873 and 77885.

LCM(77873,77885) = 431 × 18111 × 51 × 371 × 4211
LCM(77873,77885) = 6065138605