What is the Least Common Multiple of 74469 and 74488?

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 74469 and 74488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74469 and 74488, than apply into the LCM equation.

GCF(74469,74488) = 1
LCM(74469,74488) = ( 74469 × 74488) / 1
LCM(74469,74488) = 5547046872 / 1
LCM(74469,74488) = 5547046872

Least Common Multiple (LCM) of 74469 and 74488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74469 and 74488. First we will calculate the prime factors of 74469 and 74488.

Prime Factorization of 74469

Prime Factorization of 74488

Now multiplying the highest exponent prime factors to calculate the LCM of 74469 and 74488.

LCM(74469,74488) = 3¹ × 103¹ × 241¹ × 2³ × 9311¹
LCM(74469,74488) = 5547046872