What is the Least Common Multiple of 58945 and 58962?

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 58945 and 58962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58945 and 58962, than apply into the LCM equation.

GCF(58945,58962) = 1
LCM(58945,58962) = ( 58945 × 58962) / 1
LCM(58945,58962) = 3475515090 / 1
LCM(58945,58962) = 3475515090

Least Common Multiple (LCM) of 58945 and 58962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58945 and 58962. First we will calculate the prime factors of 58945 and 58962.

Prime Factorization of 58945

Prime Factorization of 58962

Now multiplying the highest exponent prime factors to calculate the LCM of 58945 and 58962.

LCM(58945,58962) = 5¹ × 11789¹ × 2¹ × 3¹ × 31¹ × 317¹
LCM(58945,58962) = 3475515090