What is the Least Common Multiple of 33060 and 33072?

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 33060 and 33072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33060 and 33072, than apply into the LCM equation.

GCF(33060,33072) = 12
LCM(33060,33072) = ( 33060 × 33072) / 12
LCM(33060,33072) = 1093360320 / 12
LCM(33060,33072) = 91113360

Least Common Multiple (LCM) of 33060 and 33072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33060 and 33072. First we will calculate the prime factors of 33060 and 33072.

Prime Factorization of 33060

Prime Factorization of 33072

Now multiplying the highest exponent prime factors to calculate the LCM of 33060 and 33072.

LCM(33060,33072) = 2⁴ × 3¹ × 5¹ × 19¹ × 29¹ × 13¹ × 53¹
LCM(33060,33072) = 91113360