What is the Least Common Multiple of 96285 and 96290?

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 96285 and 96290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96285 and 96290, than apply into the LCM equation.

GCF(96285,96290) = 5
LCM(96285,96290) = ( 96285 × 96290) / 5
LCM(96285,96290) = 9271282650 / 5
LCM(96285,96290) = 1854256530

Least Common Multiple (LCM) of 96285 and 96290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96285 and 96290. First we will calculate the prime factors of 96285 and 96290.

Prime Factorization of 96285

Prime Factorization of 96290

Now multiplying the highest exponent prime factors to calculate the LCM of 96285 and 96290.

LCM(96285,96290) = 3¹ × 5¹ × 7² × 131¹ × 2¹ × 9629¹
LCM(96285,96290) = 1854256530