What is the Least Common Multiple of 96580 and 96590?

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 96580 and 96590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96580 and 96590, than apply into the LCM equation.

GCF(96580,96590) = 10
LCM(96580,96590) = ( 96580 × 96590) / 10
LCM(96580,96590) = 9328662200 / 10
LCM(96580,96590) = 932866220

Least Common Multiple (LCM) of 96580 and 96590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96580 and 96590. First we will calculate the prime factors of 96580 and 96590.

Prime Factorization of 96580

Prime Factorization of 96590

Now multiplying the highest exponent prime factors to calculate the LCM of 96580 and 96590.

LCM(96580,96590) = 2² × 5¹ × 11¹ × 439¹ × 13¹ × 743¹
LCM(96580,96590) = 932866220