What is the Least Common Multiple of 98785 and 98803?

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 98785 and 98803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98785 and 98803, than apply into the LCM equation.

GCF(98785,98803) = 1
LCM(98785,98803) = ( 98785 × 98803) / 1
LCM(98785,98803) = 9760254355 / 1
LCM(98785,98803) = 9760254355

Least Common Multiple (LCM) of 98785 and 98803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98785 and 98803. First we will calculate the prime factors of 98785 and 98803.

Prime Factorization of 98785

Prime Factorization of 98803

Now multiplying the highest exponent prime factors to calculate the LCM of 98785 and 98803.

LCM(98785,98803) = 5¹ × 23¹ × 859¹ × 29¹ × 3407¹
LCM(98785,98803) = 9760254355