What is the Least Common Multiple of 5954 and 5973?

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 5954 and 5973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5954 and 5973, than apply into the LCM equation.

GCF(5954,5973) = 1
LCM(5954,5973) = ( 5954 × 5973) / 1
LCM(5954,5973) = 35563242 / 1
LCM(5954,5973) = 35563242

Least Common Multiple (LCM) of 5954 and 5973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5954 and 5973. First we will calculate the prime factors of 5954 and 5973.

Prime Factorization of 5954

Prime Factorization of 5973

Now multiplying the highest exponent prime factors to calculate the LCM of 5954 and 5973.

LCM(5954,5973) = 2¹ × 13¹ × 229¹ × 3¹ × 11¹ × 181¹
LCM(5954,5973) = 35563242