What is the Least Common Multiple of 33152 and 33172?

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 33152 and 33172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33152 and 33172, than apply into the LCM equation.

GCF(33152,33172) = 4
LCM(33152,33172) = ( 33152 × 33172) / 4
LCM(33152,33172) = 1099718144 / 4
LCM(33152,33172) = 274929536

Least Common Multiple (LCM) of 33152 and 33172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33152 and 33172. First we will calculate the prime factors of 33152 and 33172.

Prime Factorization of 33152

Prime Factorization of 33172

Now multiplying the highest exponent prime factors to calculate the LCM of 33152 and 33172.

LCM(33152,33172) = 2⁷ × 7¹ × 37¹ × 8293¹
LCM(33152,33172) = 274929536