What is the Least Common Multiple of 84460 and 84465?

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 84460 and 84465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84460 and 84465, than apply into the LCM equation.

GCF(84460,84465) = 5
LCM(84460,84465) = ( 84460 × 84465) / 5
LCM(84460,84465) = 7133913900 / 5
LCM(84460,84465) = 1426782780

Least Common Multiple (LCM) of 84460 and 84465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84460 and 84465. First we will calculate the prime factors of 84460 and 84465.

Prime Factorization of 84460

Prime Factorization of 84465

Now multiplying the highest exponent prime factors to calculate the LCM of 84460 and 84465.

LCM(84460,84465) = 2² × 5¹ × 41¹ × 103¹ × 3² × 1877¹
LCM(84460,84465) = 1426782780