What is the Least Common Multiple of 74466 and 74481?

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 74466 and 74481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74466 and 74481, than apply into the LCM equation.

GCF(74466,74481) = 3
LCM(74466,74481) = ( 74466 × 74481) / 3
LCM(74466,74481) = 5546302146 / 3
LCM(74466,74481) = 1848767382

Least Common Multiple (LCM) of 74466 and 74481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74466 and 74481. First we will calculate the prime factors of 74466 and 74481.

Prime Factorization of 74466

Prime Factorization of 74481

Now multiplying the highest exponent prime factors to calculate the LCM of 74466 and 74481.

LCM(74466,74481) = 2¹ × 3³ × 7¹ × 197¹ × 11¹ × 37¹ × 61¹
LCM(74466,74481) = 1848767382