What is the Least Common Multiple of 24460 and 24472?

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 24460 and 24472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24460 and 24472, than apply into the LCM equation.

GCF(24460,24472) = 4
LCM(24460,24472) = ( 24460 × 24472) / 4
LCM(24460,24472) = 598585120 / 4
LCM(24460,24472) = 149646280

Least Common Multiple (LCM) of 24460 and 24472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24460 and 24472. First we will calculate the prime factors of 24460 and 24472.

Prime Factorization of 24460

Prime Factorization of 24472

Now multiplying the highest exponent prime factors to calculate the LCM of 24460 and 24472.

LCM(24460,24472) = 2³ × 5¹ × 1223¹ × 7¹ × 19¹ × 23¹
LCM(24460,24472) = 149646280