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What is the Least Common Multiple of 84778 and 84788?

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 84778 and 84788 is 3594078532.

LCM(84778,84788) = 3594078532

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Least Common Multiple of 84778 and 84788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84778 and 84788, than apply into the LCM equation.

GCF(84778,84788) = 2
LCM(84778,84788) = ( 84778 × 84788) / 2
LCM(84778,84788) = 7188157064 / 2
LCM(84778,84788) = 3594078532

Least Common Multiple (LCM) of 84778 and 84788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84778 and 84788. First we will calculate the prime factors of 84778 and 84788.

Prime Factorization of 84778

Prime factors of 84778 are 2, 19, 23, 97. Prime factorization of 84778 in exponential form is:

84778 = 21 × 191 × 231 × 971

Prime Factorization of 84788

Prime factors of 84788 are 2, 11, 41, 47. Prime factorization of 84788 in exponential form is:

84788 = 22 × 111 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 84778 and 84788.

LCM(84778,84788) = 22 × 191 × 231 × 971 × 111 × 411 × 471
LCM(84778,84788) = 3594078532