What is the Least Common Multiple of 80460 and 80469?

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 80469 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 80469, than apply into the LCM equation.

GCF(80460,80469) = 9
LCM(80460,80469) = ( 80460 × 80469) / 9
LCM(80460,80469) = 6474535740 / 9
LCM(80460,80469) = 719392860

Least Common Multiple (LCM) of 80460 and 80469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80460 and 80469. First we will calculate the prime factors of 80460 and 80469.

Prime Factorization of 80460

Prime Factorization of 80469

Now multiplying the highest exponent prime factors to calculate the LCM of 80460 and 80469.

LCM(80460,80469) = 2² × 3³ × 5¹ × 149¹ × 8941¹
LCM(80460,80469) = 719392860