What is the Least Common Multiple of 92796 and 92803?

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 92796 and 92803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92796 and 92803, than apply into the LCM equation.

GCF(92796,92803) = 1
LCM(92796,92803) = ( 92796 × 92803) / 1
LCM(92796,92803) = 8611747188 / 1
LCM(92796,92803) = 8611747188

Least Common Multiple (LCM) of 92796 and 92803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92796 and 92803. First we will calculate the prime factors of 92796 and 92803.

Prime Factorization of 92796

Prime Factorization of 92803

Now multiplying the highest exponent prime factors to calculate the LCM of 92796 and 92803.

LCM(92796,92803) = 2² × 3¹ × 11¹ × 19¹ × 37¹ × 17¹ × 53¹ × 103¹
LCM(92796,92803) = 8611747188