What is the Least Common Multiple of 24472 and 24477?

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 24472 and 24477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24472 and 24477, than apply into the LCM equation.

GCF(24472,24477) = 1
LCM(24472,24477) = ( 24472 × 24477) / 1
LCM(24472,24477) = 599001144 / 1
LCM(24472,24477) = 599001144

Least Common Multiple (LCM) of 24472 and 24477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24472 and 24477. First we will calculate the prime factors of 24472 and 24477.

Prime Factorization of 24472

Prime Factorization of 24477

Now multiplying the highest exponent prime factors to calculate the LCM of 24472 and 24477.

LCM(24472,24477) = 2³ × 7¹ × 19¹ × 23¹ × 3¹ × 41¹ × 199¹
LCM(24472,24477) = 599001144