What is the Least Common Multiple of 33153 and 33167?

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 33153 and 33167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33153 and 33167, than apply into the LCM equation.

GCF(33153,33167) = 1
LCM(33153,33167) = ( 33153 × 33167) / 1
LCM(33153,33167) = 1099585551 / 1
LCM(33153,33167) = 1099585551

Least Common Multiple (LCM) of 33153 and 33167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33153 and 33167. First we will calculate the prime factors of 33153 and 33167.

Prime Factorization of 33153

Prime Factorization of 33167

Now multiplying the highest exponent prime factors to calculate the LCM of 33153 and 33167.

LCM(33153,33167) = 3¹ × 43¹ × 257¹ × 17¹ × 1951¹
LCM(33153,33167) = 1099585551