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What is the Least Common Multiple of 67883 and 67898?

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 67883 and 67898 is 4609119934.

LCM(67883,67898) = 4609119934

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Least Common Multiple of 67883 and 67898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67883 and 67898, than apply into the LCM equation.

GCF(67883,67898) = 1
LCM(67883,67898) = ( 67883 × 67898) / 1
LCM(67883,67898) = 4609119934 / 1
LCM(67883,67898) = 4609119934

Least Common Multiple (LCM) of 67883 and 67898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67883 and 67898. First we will calculate the prime factors of 67883 and 67898.

Prime Factorization of 67883

Prime factors of 67883 are 67883. Prime factorization of 67883 in exponential form is:

67883 = 678831

Prime Factorization of 67898

Prime factors of 67898 are 2, 17, 1997. Prime factorization of 67898 in exponential form is:

67898 = 21 × 171 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 67883 and 67898.

LCM(67883,67898) = 678831 × 21 × 171 × 19971
LCM(67883,67898) = 4609119934