What is the Least Common Multiple of 67280 and 67298?

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 67280 and 67298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67280 and 67298, than apply into the LCM equation.

GCF(67280,67298) = 2
LCM(67280,67298) = ( 67280 × 67298) / 2
LCM(67280,67298) = 4527809440 / 2
LCM(67280,67298) = 2263904720

Least Common Multiple (LCM) of 67280 and 67298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67280 and 67298. First we will calculate the prime factors of 67280 and 67298.

Prime Factorization of 67280

Prime Factorization of 67298

Now multiplying the highest exponent prime factors to calculate the LCM of 67280 and 67298.

LCM(67280,67298) = 2⁴ × 5¹ × 29² × 7¹ × 11¹ × 19¹ × 23¹
LCM(67280,67298) = 2263904720