What is the Least Common Multiple of 33945 and 33955?

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 33945 and 33955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33945 and 33955, than apply into the LCM equation.

GCF(33945,33955) = 5
LCM(33945,33955) = ( 33945 × 33955) / 5
LCM(33945,33955) = 1152602475 / 5
LCM(33945,33955) = 230520495

Least Common Multiple (LCM) of 33945 and 33955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33945 and 33955. First we will calculate the prime factors of 33945 and 33955.

Prime Factorization of 33945

Prime Factorization of 33955

Now multiplying the highest exponent prime factors to calculate the LCM of 33945 and 33955.

LCM(33945,33955) = 3¹ × 5¹ × 31¹ × 73¹ × 6791¹
LCM(33945,33955) = 230520495