What is the Least Common Multiple of 80244 and 80260?

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 80244 and 80260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80244 and 80260, than apply into the LCM equation.

GCF(80244,80260) = 4
LCM(80244,80260) = ( 80244 × 80260) / 4
LCM(80244,80260) = 6440383440 / 4
LCM(80244,80260) = 1610095860

Least Common Multiple (LCM) of 80244 and 80260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80244 and 80260. First we will calculate the prime factors of 80244 and 80260.

Prime Factorization of 80244

Prime Factorization of 80260

Now multiplying the highest exponent prime factors to calculate the LCM of 80244 and 80260.

LCM(80244,80260) = 2² × 3³ × 743¹ × 5¹ × 4013¹
LCM(80244,80260) = 1610095860