What is the Least Common Multiple of 96562 and 96570?

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 96562 and 96570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96562 and 96570, than apply into the LCM equation.

GCF(96562,96570) = 2
LCM(96562,96570) = ( 96562 × 96570) / 2
LCM(96562,96570) = 9324992340 / 2
LCM(96562,96570) = 4662496170

Least Common Multiple (LCM) of 96562 and 96570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96562 and 96570. First we will calculate the prime factors of 96562 and 96570.

Prime Factorization of 96562

Prime Factorization of 96570

Now multiplying the highest exponent prime factors to calculate the LCM of 96562 and 96570.

LCM(96562,96570) = 2¹ × 48281¹ × 3² × 5¹ × 29¹ × 37¹
LCM(96562,96570) = 4662496170