What is the Least Common Multiple of 54945 and 54958?

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 54945 and 54958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54945 and 54958, than apply into the LCM equation.

GCF(54945,54958) = 1
LCM(54945,54958) = ( 54945 × 54958) / 1
LCM(54945,54958) = 3019667310 / 1
LCM(54945,54958) = 3019667310

Least Common Multiple (LCM) of 54945 and 54958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54945 and 54958. First we will calculate the prime factors of 54945 and 54958.

Prime Factorization of 54945

Prime Factorization of 54958

Now multiplying the highest exponent prime factors to calculate the LCM of 54945 and 54958.

LCM(54945,54958) = 3³ × 5¹ × 11¹ × 37¹ × 2¹ × 27479¹
LCM(54945,54958) = 3019667310