What is the Least Common Multiple of 67280 and 67288?

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 67288 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 67288, than apply into the LCM equation.

GCF(67280,67288) = 8
LCM(67280,67288) = ( 67280 × 67288) / 8
LCM(67280,67288) = 4527136640 / 8
LCM(67280,67288) = 565892080

Least Common Multiple (LCM) of 67280 and 67288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67280 and 67288. First we will calculate the prime factors of 67280 and 67288.

Prime Factorization of 67280

Prime Factorization of 67288

Now multiplying the highest exponent prime factors to calculate the LCM of 67280 and 67288.

LCM(67280,67288) = 2⁴ × 5¹ × 29² × 13¹ × 647¹
LCM(67280,67288) = 565892080