What is the Least Common Multiple of 67280 and 67297?

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 67297 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 67297, than apply into the LCM equation.

GCF(67280,67297) = 1
LCM(67280,67297) = ( 67280 × 67297) / 1
LCM(67280,67297) = 4527742160 / 1
LCM(67280,67297) = 4527742160

Least Common Multiple (LCM) of 67280 and 67297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67280 and 67297. First we will calculate the prime factors of 67280 and 67297.

Prime Factorization of 67280

Prime Factorization of 67297

Now multiplying the highest exponent prime factors to calculate the LCM of 67280 and 67297.

LCM(67280,67297) = 2⁴ × 5¹ × 29² × 173¹ × 389¹
LCM(67280,67297) = 4527742160