What is the Least Common Multiple of 92994 and 93000?

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 93000 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 93000, than apply into the LCM equation.

GCF(92994,93000) = 6
LCM(92994,93000) = ( 92994 × 93000) / 6
LCM(92994,93000) = 8648442000 / 6
LCM(92994,93000) = 1441407000

Least Common Multiple (LCM) of 92994 and 93000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92994 and 93000. First we will calculate the prime factors of 92994 and 93000.

Prime Factorization of 92994

Prime Factorization of 93000

Now multiplying the highest exponent prime factors to calculate the LCM of 92994 and 93000.

LCM(92994,93000) = 2³ × 3¹ × 11¹ × 1409¹ × 5³ × 31¹
LCM(92994,93000) = 1441407000