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What is the Least Common Multiple of 84967 and 84981?

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 84967 and 84981 is 7220580627.

LCM(84967,84981) = 7220580627

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Least Common Multiple of 84967 and 84981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84967 and 84981, than apply into the LCM equation.

GCF(84967,84981) = 1
LCM(84967,84981) = ( 84967 × 84981) / 1
LCM(84967,84981) = 7220580627 / 1
LCM(84967,84981) = 7220580627

Least Common Multiple (LCM) of 84967 and 84981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84967 and 84981. First we will calculate the prime factors of 84967 and 84981.

Prime Factorization of 84967

Prime factors of 84967 are 84967. Prime factorization of 84967 in exponential form is:

84967 = 849671

Prime Factorization of 84981

Prime factors of 84981 are 3, 13, 2179. Prime factorization of 84981 in exponential form is:

84981 = 31 × 131 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 84967 and 84981.

LCM(84967,84981) = 849671 × 31 × 131 × 21791
LCM(84967,84981) = 7220580627