What is the Least Common Multiple of 84449 and 84460?

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 of 84449 and 84460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84449 and 84460, than apply into the LCM equation.

GCF(84449,84460) = 1
LCM(84449,84460) = ( 84449 × 84460) / 1
LCM(84449,84460) = 7132562540 / 1
LCM(84449,84460) = 7132562540

Least Common Multiple (LCM) of 84449 and 84460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84449 and 84460. First we will calculate the prime factors of 84449 and 84460.

Prime Factorization of 84449

Prime Factorization of 84460

Now multiplying the highest exponent prime factors to calculate the LCM of 84449 and 84460.

LCM(84449,84460) = 84449¹ × 2² × 5¹ × 41¹ × 103¹
LCM(84449,84460) = 7132562540