What is the Least Common Multiple of 80230 and 80240?

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 80230 and 80240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80230 and 80240, than apply into the LCM equation.

GCF(80230,80240) = 10
LCM(80230,80240) = ( 80230 × 80240) / 10
LCM(80230,80240) = 6437655200 / 10
LCM(80230,80240) = 643765520

Least Common Multiple (LCM) of 80230 and 80240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80230 and 80240. First we will calculate the prime factors of 80230 and 80240.

Prime Factorization of 80230

Prime Factorization of 80240

Now multiplying the highest exponent prime factors to calculate the LCM of 80230 and 80240.

LCM(80230,80240) = 2⁴ × 5¹ × 71¹ × 113¹ × 17¹ × 59¹
LCM(80230,80240) = 643765520