What is the Least Common Multiple of 68480 and 68498?

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 68480 and 68498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68480 and 68498, than apply into the LCM equation.

GCF(68480,68498) = 2
LCM(68480,68498) = ( 68480 × 68498) / 2
LCM(68480,68498) = 4690743040 / 2
LCM(68480,68498) = 2345371520

Least Common Multiple (LCM) of 68480 and 68498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68480 and 68498. First we will calculate the prime factors of 68480 and 68498.

Prime Factorization of 68480

Prime Factorization of 68498

Now multiplying the highest exponent prime factors to calculate the LCM of 68480 and 68498.

LCM(68480,68498) = 2⁷ × 5¹ × 107¹ × 29¹ × 1181¹
LCM(68480,68498) = 2345371520