What is the Least Common Multiple of 5954 and 5967?

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 5967 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 5967, than apply into the LCM equation.

GCF(5954,5967) = 13
LCM(5954,5967) = ( 5954 × 5967) / 13
LCM(5954,5967) = 35527518 / 13
LCM(5954,5967) = 2732886

Least Common Multiple (LCM) of 5954 and 5967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5954 and 5967. First we will calculate the prime factors of 5954 and 5967.

Prime Factorization of 5954

Prime Factorization of 5967

Now multiplying the highest exponent prime factors to calculate the LCM of 5954 and 5967.

LCM(5954,5967) = 2¹ × 13¹ × 229¹ × 3³ × 17¹
LCM(5954,5967) = 2732886