What is the Least Common Multiple of 24696 and 24706?

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 24696 and 24706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24696 and 24706, than apply into the LCM equation.

GCF(24696,24706) = 2
LCM(24696,24706) = ( 24696 × 24706) / 2
LCM(24696,24706) = 610139376 / 2
LCM(24696,24706) = 305069688

Least Common Multiple (LCM) of 24696 and 24706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24696 and 24706. First we will calculate the prime factors of 24696 and 24706.

Prime Factorization of 24696

Prime Factorization of 24706

Now multiplying the highest exponent prime factors to calculate the LCM of 24696 and 24706.

LCM(24696,24706) = 2³ × 3² × 7³ × 11¹ × 1123¹
LCM(24696,24706) = 305069688