GCF and LCM Calculator Logo

What is the Least Common Multiple of 84461 and 84481?

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 84461 and 84481 is 7135349741.

LCM(84461,84481) = 7135349741

LCM Calculator and
and

Least Common Multiple of 84461 and 84481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84461 and 84481, than apply into the LCM equation.

GCF(84461,84481) = 1
LCM(84461,84481) = ( 84461 × 84481) / 1
LCM(84461,84481) = 7135349741 / 1
LCM(84461,84481) = 7135349741

Least Common Multiple (LCM) of 84461 and 84481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84461 and 84481. First we will calculate the prime factors of 84461 and 84481.

Prime Factorization of 84461

Prime factors of 84461 are 13, 73, 89. Prime factorization of 84461 in exponential form is:

84461 = 131 × 731 × 891

Prime Factorization of 84481

Prime factors of 84481 are 84481. Prime factorization of 84481 in exponential form is:

84481 = 844811

Now multiplying the highest exponent prime factors to calculate the LCM of 84461 and 84481.

LCM(84461,84481) = 131 × 731 × 891 × 844811
LCM(84461,84481) = 7135349741