GCF and LCM Calculator Logo

What is the Least Common Multiple of 84454 and 84473?

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 84454 and 84473 is 7134082742.

LCM(84454,84473) = 7134082742

LCM Calculator and
and

Least Common Multiple of 84454 and 84473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84454 and 84473, than apply into the LCM equation.

GCF(84454,84473) = 1
LCM(84454,84473) = ( 84454 × 84473) / 1
LCM(84454,84473) = 7134082742 / 1
LCM(84454,84473) = 7134082742

Least Common Multiple (LCM) of 84454 and 84473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84454 and 84473. First we will calculate the prime factors of 84454 and 84473.

Prime Factorization of 84454

Prime factors of 84454 are 2, 42227. Prime factorization of 84454 in exponential form is:

84454 = 21 × 422271

Prime Factorization of 84473

Prime factors of 84473 are 17, 4969. Prime factorization of 84473 in exponential form is:

84473 = 171 × 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 84454 and 84473.

LCM(84454,84473) = 21 × 422271 × 171 × 49691
LCM(84454,84473) = 7134082742