What is the Least Common Multiple of 57986 and 58003?

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 57986 and 58003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57986 and 58003, than apply into the LCM equation.

GCF(57986,58003) = 1
LCM(57986,58003) = ( 57986 × 58003) / 1
LCM(57986,58003) = 3363361958 / 1
LCM(57986,58003) = 3363361958

Least Common Multiple (LCM) of 57986 and 58003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57986 and 58003. First we will calculate the prime factors of 57986 and 58003.

Prime Factorization of 57986

Prime Factorization of 58003

Now multiplying the highest exponent prime factors to calculate the LCM of 57986 and 58003.

LCM(57986,58003) = 2¹ × 79¹ × 367¹ × 11¹ × 5273¹
LCM(57986,58003) = 3363361958