GCF and LCM Calculator Logo

What is the Least Common Multiple of 79160 and 79173?

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 79160 and 79173 is 6267334680.

LCM(79160,79173) = 6267334680

LCM Calculator and
and

Least Common Multiple of 79160 and 79173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79160 and 79173, than apply into the LCM equation.

GCF(79160,79173) = 1
LCM(79160,79173) = ( 79160 × 79173) / 1
LCM(79160,79173) = 6267334680 / 1
LCM(79160,79173) = 6267334680

Least Common Multiple (LCM) of 79160 and 79173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79160 and 79173. First we will calculate the prime factors of 79160 and 79173.

Prime Factorization of 79160

Prime factors of 79160 are 2, 5, 1979. Prime factorization of 79160 in exponential form is:

79160 = 23 × 51 × 19791

Prime Factorization of 79173

Prime factors of 79173 are 3, 19, 463. Prime factorization of 79173 in exponential form is:

79173 = 32 × 191 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 79160 and 79173.

LCM(79160,79173) = 23 × 51 × 19791 × 32 × 191 × 4631
LCM(79160,79173) = 6267334680