What is the Least Common Multiple of 75453 and 75459?

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 75453 and 75459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75453 and 75459, than apply into the LCM equation.

GCF(75453,75459) = 3
LCM(75453,75459) = ( 75453 × 75459) / 3
LCM(75453,75459) = 5693607927 / 3
LCM(75453,75459) = 1897869309

Least Common Multiple (LCM) of 75453 and 75459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75453 and 75459. First we will calculate the prime factors of 75453 and 75459.

Prime Factorization of 75453

Prime Factorization of 75459

Now multiplying the highest exponent prime factors to calculate the LCM of 75453 and 75459.

LCM(75453,75459) = 3¹ × 7¹ × 3593¹ × 25153¹
LCM(75453,75459) = 1897869309