What is the Least Common Multiple of 57986 and 57998?

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 57998 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 57998, than apply into the LCM equation.

GCF(57986,57998) = 2
LCM(57986,57998) = ( 57986 × 57998) / 2
LCM(57986,57998) = 3363072028 / 2
LCM(57986,57998) = 1681536014

Least Common Multiple (LCM) of 57986 and 57998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57986 and 57998. First we will calculate the prime factors of 57986 and 57998.

Prime Factorization of 57986

Prime Factorization of 57998

Now multiplying the highest exponent prime factors to calculate the LCM of 57986 and 57998.

LCM(57986,57998) = 2¹ × 79¹ × 367¹ × 47¹ × 617¹
LCM(57986,57998) = 1681536014