What is the Least Common Multiple of 74154 and 74169?

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 74154 and 74169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74154 and 74169, than apply into the LCM equation.

GCF(74154,74169) = 3
LCM(74154,74169) = ( 74154 × 74169) / 3
LCM(74154,74169) = 5499928026 / 3
LCM(74154,74169) = 1833309342

Least Common Multiple (LCM) of 74154 and 74169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74154 and 74169. First we will calculate the prime factors of 74154 and 74169.

Prime Factorization of 74154

Prime Factorization of 74169

Now multiplying the highest exponent prime factors to calculate the LCM of 74154 and 74169.

LCM(74154,74169) = 2¹ × 3³ × 17¹ × 727¹ × 41¹ × 67¹
LCM(74154,74169) = 1833309342