What is the Least Common Multiple of 59909 and 59927?

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 59909 and 59927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59909 and 59927, than apply into the LCM equation.

GCF(59909,59927) = 1
LCM(59909,59927) = ( 59909 × 59927) / 1
LCM(59909,59927) = 3590166643 / 1
LCM(59909,59927) = 3590166643

Least Common Multiple (LCM) of 59909 and 59927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59909 and 59927. First we will calculate the prime factors of 59909 and 59927.

Prime Factorization of 59909

Prime Factorization of 59927

Now multiplying the highest exponent prime factors to calculate the LCM of 59909 and 59927.

LCM(59909,59927) = 139¹ × 431¹ × 7² × 1223¹
LCM(59909,59927) = 3590166643