What is the Least Common Multiple of 75573 and 75579?

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 75573 and 75579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75573 and 75579, than apply into the LCM equation.

GCF(75573,75579) = 3
LCM(75573,75579) = ( 75573 × 75579) / 3
LCM(75573,75579) = 5711731767 / 3
LCM(75573,75579) = 1903910589

Least Common Multiple (LCM) of 75573 and 75579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75573 and 75579. First we will calculate the prime factors of 75573 and 75579.

Prime Factorization of 75573

Prime Factorization of 75579

Now multiplying the highest exponent prime factors to calculate the LCM of 75573 and 75579.

LCM(75573,75579) = 3⁵ × 311¹ × 7¹ × 59¹ × 61¹
LCM(75573,75579) = 1903910589