What is the Least Common Multiple of 92994 and 92999?

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 92994 and 92999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92994 and 92999, than apply into the LCM equation.

GCF(92994,92999) = 1
LCM(92994,92999) = ( 92994 × 92999) / 1
LCM(92994,92999) = 8648349006 / 1
LCM(92994,92999) = 8648349006

Least Common Multiple (LCM) of 92994 and 92999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92994 and 92999. First we will calculate the prime factors of 92994 and 92999.

Prime Factorization of 92994

Prime Factorization of 92999

Now multiplying the highest exponent prime factors to calculate the LCM of 92994 and 92999.

LCM(92994,92999) = 2¹ × 3¹ × 11¹ × 1409¹ × 113¹ × 823¹
LCM(92994,92999) = 8648349006