What is the Least Common Multiple of 792 and 803?

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 792 and 803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 792 and 803, than apply into the LCM equation.

GCF(792,803) = 11
LCM(792,803) = ( 792 × 803) / 11
LCM(792,803) = 635976 / 11
LCM(792,803) = 57816

Least Common Multiple (LCM) of 792 and 803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 792 and 803. First we will calculate the prime factors of 792 and 803.

Prime Factorization of 792

Prime Factorization of 803

Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 803.

LCM(792,803) = 2³ × 3² × 11¹ × 73¹
LCM(792,803) = 57816