What is the Least Common Multiple of 79593 and 79611?

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 79593 and 79611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79593 and 79611, than apply into the LCM equation.

GCF(79593,79611) = 3
LCM(79593,79611) = ( 79593 × 79611) / 3
LCM(79593,79611) = 6336478323 / 3
LCM(79593,79611) = 2112159441

Least Common Multiple (LCM) of 79593 and 79611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79593 and 79611. First we will calculate the prime factors of 79593 and 79611.

Prime Factorization of 79593

Prime Factorization of 79611

Now multiplying the highest exponent prime factors to calculate the LCM of 79593 and 79611.

LCM(79593,79611) = 3¹ × 43¹ × 617¹ × 7¹ × 17¹ × 223¹
LCM(79593,79611) = 2112159441