What is the Least Common Multiple of 59901 and 59917?

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 59917 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 59917, than apply into the LCM equation.

GCF(59901,59917) = 1
LCM(59901,59917) = ( 59901 × 59917) / 1
LCM(59901,59917) = 3589088217 / 1
LCM(59901,59917) = 3589088217

Least Common Multiple (LCM) of 59901 and 59917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59901 and 59917. First we will calculate the prime factors of 59901 and 59917.

Prime Factorization of 59901

Prime Factorization of 59917

Now multiplying the highest exponent prime factors to calculate the LCM of 59901 and 59917.

LCM(59901,59917) = 3¹ × 41¹ × 487¹ × 11¹ × 13¹ × 419¹
LCM(59901,59917) = 3589088217