What is the Least Common Multiple of 58942 and 58961?

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 58942 and 58961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58942 and 58961, than apply into the LCM equation.

GCF(58942,58961) = 1
LCM(58942,58961) = ( 58942 × 58961) / 1
LCM(58942,58961) = 3475279262 / 1
LCM(58942,58961) = 3475279262

Least Common Multiple (LCM) of 58942 and 58961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58942 and 58961. First we will calculate the prime factors of 58942 and 58961.

Prime Factorization of 58942

Prime Factorization of 58961

Now multiplying the highest exponent prime factors to calculate the LCM of 58942 and 58961.

LCM(58942,58961) = 2¹ × 13¹ × 2267¹ × 7¹ × 8423¹
LCM(58942,58961) = 3475279262