What is the Least Common Multiple of 79154 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 of 79154 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 79154 and 79173, than apply into the LCM equation.

GCF(79154,79173) = 19
LCM(79154,79173) = ( 79154 × 79173) / 19
LCM(79154,79173) = 6266859642 / 19
LCM(79154,79173) = 329834718

Least Common Multiple (LCM) of 79154 and 79173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79154 and 79173. First we will calculate the prime factors of 79154 and 79173.

Prime Factorization of 79154

Prime Factorization of 79173

Now multiplying the highest exponent prime factors to calculate the LCM of 79154 and 79173.

LCM(79154,79173) = 2¹ × 19¹ × 2083¹ × 3² × 463¹
LCM(79154,79173) = 329834718