What is the Least Common Multiple of 80442 and 80460?

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 80442 and 80460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80442 and 80460, than apply into the LCM equation.

GCF(80442,80460) = 18
LCM(80442,80460) = ( 80442 × 80460) / 18
LCM(80442,80460) = 6472363320 / 18
LCM(80442,80460) = 359575740

Least Common Multiple (LCM) of 80442 and 80460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80442 and 80460. First we will calculate the prime factors of 80442 and 80460.

Prime Factorization of 80442

Prime Factorization of 80460

Now multiplying the highest exponent prime factors to calculate the LCM of 80442 and 80460.

LCM(80442,80460) = 2² × 3³ × 41¹ × 109¹ × 5¹ × 149¹
LCM(80442,80460) = 359575740