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What is the Least Common Multiple of 77883 and 77898?

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 77883 and 77898 is 2022309978.

LCM(77883,77898) = 2022309978

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Least Common Multiple of 77883 and 77898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77883 and 77898, than apply into the LCM equation.

GCF(77883,77898) = 3
LCM(77883,77898) = ( 77883 × 77898) / 3
LCM(77883,77898) = 6066929934 / 3
LCM(77883,77898) = 2022309978

Least Common Multiple (LCM) of 77883 and 77898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77883 and 77898. First we will calculate the prime factors of 77883 and 77898.

Prime Factorization of 77883

Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:

77883 = 31 × 131 × 19971

Prime Factorization of 77898

Prime factors of 77898 are 2, 3, 12983. Prime factorization of 77898 in exponential form is:

77898 = 21 × 31 × 129831

Now multiplying the highest exponent prime factors to calculate the LCM of 77883 and 77898.

LCM(77883,77898) = 31 × 131 × 19971 × 21 × 129831
LCM(77883,77898) = 2022309978