What is the Least Common Multiple of 58989 and 58993?

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 58989 and 58993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58989 and 58993, than apply into the LCM equation.

GCF(58989,58993) = 1
LCM(58989,58993) = ( 58989 × 58993) / 1
LCM(58989,58993) = 3479938077 / 1
LCM(58989,58993) = 3479938077

Least Common Multiple (LCM) of 58989 and 58993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58989 and 58993. First we will calculate the prime factors of 58989 and 58993.

Prime Factorization of 58989

Prime Factorization of 58993

Now multiplying the highest exponent prime factors to calculate the LCM of 58989 and 58993.

LCM(58989,58993) = 3¹ × 7¹ × 53² × 11¹ × 31¹ × 173¹
LCM(58989,58993) = 3479938077