What is the Least Common Multiple of 62434 and 62449?

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 62434 and 62449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62434 and 62449, than apply into the LCM equation.

GCF(62434,62449) = 1
LCM(62434,62449) = ( 62434 × 62449) / 1
LCM(62434,62449) = 3898940866 / 1
LCM(62434,62449) = 3898940866

Least Common Multiple (LCM) of 62434 and 62449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62434 and 62449. First we will calculate the prime factors of 62434 and 62449.

Prime Factorization of 62434

Prime Factorization of 62449

Now multiplying the highest exponent prime factors to calculate the LCM of 62434 and 62449.

LCM(62434,62449) = 2¹ × 19¹ × 31¹ × 53¹ × 197¹ × 317¹
LCM(62434,62449) = 3898940866