What is the Least Common Multiple of 59980 and 59993?

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 59980 and 59993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59980 and 59993, than apply into the LCM equation.

GCF(59980,59993) = 1
LCM(59980,59993) = ( 59980 × 59993) / 1
LCM(59980,59993) = 3598380140 / 1
LCM(59980,59993) = 3598380140

Least Common Multiple (LCM) of 59980 and 59993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59980 and 59993. First we will calculate the prime factors of 59980 and 59993.

Prime Factorization of 59980

Prime Factorization of 59993

Now multiplying the highest exponent prime factors to calculate the LCM of 59980 and 59993.

LCM(59980,59993) = 2² × 5¹ × 2999¹ × 17¹ × 3529¹
LCM(59980,59993) = 3598380140