What is the Least Common Multiple of 80460 and 80468?

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 80460 and 80468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80460 and 80468, than apply into the LCM equation.

GCF(80460,80468) = 4
LCM(80460,80468) = ( 80460 × 80468) / 4
LCM(80460,80468) = 6474455280 / 4
LCM(80460,80468) = 1618613820

Least Common Multiple (LCM) of 80460 and 80468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80460 and 80468. First we will calculate the prime factors of 80460 and 80468.

Prime Factorization of 80460

Prime Factorization of 80468

Now multiplying the highest exponent prime factors to calculate the LCM of 80460 and 80468.

LCM(80460,80468) = 2² × 3³ × 5¹ × 149¹ × 20117¹
LCM(80460,80468) = 1618613820