What is the Least Common Multiple of 96240 and 96260?

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 96260 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 96260, than apply into the LCM equation.

GCF(96240,96260) = 20
LCM(96240,96260) = ( 96240 × 96260) / 20
LCM(96240,96260) = 9264062400 / 20
LCM(96240,96260) = 463203120

Least Common Multiple (LCM) of 96240 and 96260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96240 and 96260. First we will calculate the prime factors of 96240 and 96260.

Prime Factorization of 96240

Prime Factorization of 96260

Now multiplying the highest exponent prime factors to calculate the LCM of 96240 and 96260.

LCM(96240,96260) = 2⁴ × 3¹ × 5¹ × 401¹ × 4813¹
LCM(96240,96260) = 463203120