GCF and LCM Calculator Logo

What is the Least Common Multiple of 176 and 193?

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 (LCM) of 176 and 193 is 33968.

LCM(176,193) = 33968

LCM Calculator and
and

Least Common Multiple of 176 and 193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 176 and 193, than apply into the LCM equation.

GCF(176,193) = 1
LCM(176,193) = ( 176 × 193) / 1
LCM(176,193) = 33968 / 1
LCM(176,193) = 33968

Least Common Multiple (LCM) of 176 and 193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 176 and 193. First we will calculate the prime factors of 176 and 193.

Prime Factorization of 176

Prime factors of 176 are 2, 11. Prime factorization of 176 in exponential form is:

176 = 24 × 111

Prime Factorization of 193

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 176 and 193.

LCM(176,193) = 24 × 111 × 1931
LCM(176,193) = 33968