What is the Least Common Multiple of 96240 and 96245?

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 96240 and 96245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96240 and 96245, than apply into the LCM equation.

GCF(96240,96245) = 5
LCM(96240,96245) = ( 96240 × 96245) / 5
LCM(96240,96245) = 9262618800 / 5
LCM(96240,96245) = 1852523760

Least Common Multiple (LCM) of 96240 and 96245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96240 and 96245. First we will calculate the prime factors of 96240 and 96245.

Prime Factorization of 96240

Prime Factorization of 96245

Now multiplying the highest exponent prime factors to calculate the LCM of 96240 and 96245.

LCM(96240,96245) = 2⁴ × 3¹ × 5¹ × 401¹ × 19249¹
LCM(96240,96245) = 1852523760