What is the Least Common Multiple of 96270 and 96275?

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 96270 and 96275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96270 and 96275, than apply into the LCM equation.

GCF(96270,96275) = 5
LCM(96270,96275) = ( 96270 × 96275) / 5
LCM(96270,96275) = 9268394250 / 5
LCM(96270,96275) = 1853678850

Least Common Multiple (LCM) of 96270 and 96275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96270 and 96275. First we will calculate the prime factors of 96270 and 96275.

Prime Factorization of 96270

Prime Factorization of 96275

Now multiplying the highest exponent prime factors to calculate the LCM of 96270 and 96275.

LCM(96270,96275) = 2¹ × 3¹ × 5² × 3209¹ × 3851¹
LCM(96270,96275) = 1853678850