What is the Least Common Multiple of 62792 and 62803?

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 62792 and 62803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62792 and 62803, than apply into the LCM equation.

GCF(62792,62803) = 1
LCM(62792,62803) = ( 62792 × 62803) / 1
LCM(62792,62803) = 3943525976 / 1
LCM(62792,62803) = 3943525976

Least Common Multiple (LCM) of 62792 and 62803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62792 and 62803. First we will calculate the prime factors of 62792 and 62803.

Prime Factorization of 62792

Prime Factorization of 62803

Now multiplying the highest exponent prime factors to calculate the LCM of 62792 and 62803.

LCM(62792,62803) = 2³ × 47¹ × 167¹ × 13¹ × 4831¹
LCM(62792,62803) = 3943525976