What is the Least Common Multiple of 96472 and 96492?

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 96472 and 96492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96472 and 96492, than apply into the LCM equation.

GCF(96472,96492) = 4
LCM(96472,96492) = ( 96472 × 96492) / 4
LCM(96472,96492) = 9308776224 / 4
LCM(96472,96492) = 2327194056

Least Common Multiple (LCM) of 96472 and 96492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96472 and 96492. First we will calculate the prime factors of 96472 and 96492.

Prime Factorization of 96472

Prime Factorization of 96492

Now multiplying the highest exponent prime factors to calculate the LCM of 96472 and 96492.

LCM(96472,96492) = 2³ × 31¹ × 389¹ × 3¹ × 11¹ × 17¹ × 43¹
LCM(96472,96492) = 2327194056