What is the Least Common Multiple of 36954 and 36959?

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 36954 and 36959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36954 and 36959, than apply into the LCM equation.

GCF(36954,36959) = 1
LCM(36954,36959) = ( 36954 × 36959) / 1
LCM(36954,36959) = 1365782886 / 1
LCM(36954,36959) = 1365782886

Least Common Multiple (LCM) of 36954 and 36959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36954 and 36959. First we will calculate the prime factors of 36954 and 36959.

Prime Factorization of 36954

Prime Factorization of 36959

Now multiplying the highest exponent prime factors to calculate the LCM of 36954 and 36959.

LCM(36954,36959) = 2¹ × 3² × 2053¹ × 13¹ × 2843¹
LCM(36954,36959) = 1365782886