What is the Least Common Multiple of 80154 and 80173?

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 80154 and 80173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80154 and 80173, than apply into the LCM equation.

GCF(80154,80173) = 1
LCM(80154,80173) = ( 80154 × 80173) / 1
LCM(80154,80173) = 6426186642 / 1
LCM(80154,80173) = 6426186642

Least Common Multiple (LCM) of 80154 and 80173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80154 and 80173. First we will calculate the prime factors of 80154 and 80173.

Prime Factorization of 80154

Prime Factorization of 80173

Now multiplying the highest exponent prime factors to calculate the LCM of 80154 and 80173.

LCM(80154,80173) = 2¹ × 3² × 61¹ × 73¹ × 80173¹
LCM(80154,80173) = 6426186642