What is the Least Common Multiple of 59251 and 59261?

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 59251 and 59261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59251 and 59261, than apply into the LCM equation.

GCF(59251,59261) = 1
LCM(59251,59261) = ( 59251 × 59261) / 1
LCM(59251,59261) = 3511273511 / 1
LCM(59251,59261) = 3511273511

Least Common Multiple (LCM) of 59251 and 59261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59251 and 59261. First we will calculate the prime factors of 59251 and 59261.

Prime Factorization of 59251

Prime Factorization of 59261

Now multiplying the highest exponent prime factors to calculate the LCM of 59251 and 59261.

LCM(59251,59261) = 193¹ × 307¹ × 19¹ × 3119¹
LCM(59251,59261) = 3511273511