What is the Least Common Multiple of 80140 and 80144?

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 80140 and 80144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80140 and 80144, than apply into the LCM equation.

GCF(80140,80144) = 4
LCM(80140,80144) = ( 80140 × 80144) / 4
LCM(80140,80144) = 6422740160 / 4
LCM(80140,80144) = 1605685040

Least Common Multiple (LCM) of 80140 and 80144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80140 and 80144. First we will calculate the prime factors of 80140 and 80144.

Prime Factorization of 80140

Prime Factorization of 80144

Now multiplying the highest exponent prime factors to calculate the LCM of 80140 and 80144.

LCM(80140,80144) = 2⁴ × 5¹ × 4007¹ × 5009¹
LCM(80140,80144) = 1605685040