What is the Least Common Multiple of 59901 and 59918?

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 59901 and 59918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59901 and 59918, than apply into the LCM equation.

GCF(59901,59918) = 1
LCM(59901,59918) = ( 59901 × 59918) / 1
LCM(59901,59918) = 3589148118 / 1
LCM(59901,59918) = 3589148118

Least Common Multiple (LCM) of 59901 and 59918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59901 and 59918. First we will calculate the prime factors of 59901 and 59918.

Prime Factorization of 59901

Prime Factorization of 59918

Now multiplying the highest exponent prime factors to calculate the LCM of 59901 and 59918.

LCM(59901,59918) = 3¹ × 41¹ × 487¹ × 2¹ × 29959¹
LCM(59901,59918) = 3589148118