What is the Least Common Multiple of 80114 and 80128?

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 80114 and 80128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80114 and 80128, than apply into the LCM equation.

GCF(80114,80128) = 2
LCM(80114,80128) = ( 80114 × 80128) / 2
LCM(80114,80128) = 6419374592 / 2
LCM(80114,80128) = 3209687296

Least Common Multiple (LCM) of 80114 and 80128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80114 and 80128. First we will calculate the prime factors of 80114 and 80128.

Prime Factorization of 80114

Prime Factorization of 80128

Now multiplying the highest exponent prime factors to calculate the LCM of 80114 and 80128.

LCM(80114,80128) = 2⁸ × 41¹ × 977¹ × 313¹
LCM(80114,80128) = 3209687296