What is the Least Common Multiple of 96592 and 96611?

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 96592 and 96611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96592 and 96611, than apply into the LCM equation.

GCF(96592,96611) = 1
LCM(96592,96611) = ( 96592 × 96611) / 1
LCM(96592,96611) = 9331849712 / 1
LCM(96592,96611) = 9331849712

Least Common Multiple (LCM) of 96592 and 96611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96592 and 96611. First we will calculate the prime factors of 96592 and 96611.

Prime Factorization of 96592

Prime Factorization of 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 96592 and 96611.

LCM(96592,96611) = 2⁴ × 6037¹ × 17¹ × 5683¹
LCM(96592,96611) = 9331849712