What is the Least Common Multiple of 92991 and 93003?

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 92991 and 93003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92991 and 93003, than apply into the LCM equation.

GCF(92991,93003) = 3
LCM(92991,93003) = ( 92991 × 93003) / 3
LCM(92991,93003) = 8648441973 / 3
LCM(92991,93003) = 2882813991

Least Common Multiple (LCM) of 92991 and 93003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92991 and 93003. First we will calculate the prime factors of 92991 and 93003.

Prime Factorization of 92991

Prime Factorization of 93003

Now multiplying the highest exponent prime factors to calculate the LCM of 92991 and 93003.

LCM(92991,93003) = 3¹ × 139¹ × 223¹ × 29¹ × 1069¹
LCM(92991,93003) = 2882813991