What is the Least Common Multiple of 74456 and 74469?

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 74456 and 74469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74456 and 74469, than apply into the LCM equation.

GCF(74456,74469) = 1
LCM(74456,74469) = ( 74456 × 74469) / 1
LCM(74456,74469) = 5544663864 / 1
LCM(74456,74469) = 5544663864

Least Common Multiple (LCM) of 74456 and 74469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74456 and 74469. First we will calculate the prime factors of 74456 and 74469.

Prime Factorization of 74456

Prime Factorization of 74469

Now multiplying the highest exponent prime factors to calculate the LCM of 74456 and 74469.

LCM(74456,74469) = 2³ × 41¹ × 227¹ × 3¹ × 103¹ × 241¹
LCM(74456,74469) = 5544663864