What is the Least Common Multiple of 33963 and 33972?

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 33963 and 33972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33963 and 33972, than apply into the LCM equation.

GCF(33963,33972) = 3
LCM(33963,33972) = ( 33963 × 33972) / 3
LCM(33963,33972) = 1153791036 / 3
LCM(33963,33972) = 384597012

Least Common Multiple (LCM) of 33963 and 33972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33963 and 33972. First we will calculate the prime factors of 33963 and 33972.

Prime Factorization of 33963

Prime Factorization of 33972

Now multiplying the highest exponent prime factors to calculate the LCM of 33963 and 33972.

LCM(33963,33972) = 3¹ × 11321¹ × 2² × 19¹ × 149¹
LCM(33963,33972) = 384597012