What is the Least Common Multiple of 96562 and 96566?

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 96566 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 96566, than apply into the LCM equation.

GCF(96562,96566) = 2
LCM(96562,96566) = ( 96562 × 96566) / 2
LCM(96562,96566) = 9324606092 / 2
LCM(96562,96566) = 4662303046

Least Common Multiple (LCM) of 96562 and 96566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96562 and 96566. First we will calculate the prime factors of 96562 and 96566.

Prime Factorization of 96562

Prime Factorization of 96566

Now multiplying the highest exponent prime factors to calculate the LCM of 96562 and 96566.

LCM(96562,96566) = 2¹ × 48281¹ × 53¹ × 911¹
LCM(96562,96566) = 4662303046