What is the Least Common Multiple of 67248 and 67256?

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 67248 and 67256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67248 and 67256, than apply into the LCM equation.

GCF(67248,67256) = 8
LCM(67248,67256) = ( 67248 × 67256) / 8
LCM(67248,67256) = 4522831488 / 8
LCM(67248,67256) = 565353936

Least Common Multiple (LCM) of 67248 and 67256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67248 and 67256. First we will calculate the prime factors of 67248 and 67256.

Prime Factorization of 67248

Prime Factorization of 67256

Now multiplying the highest exponent prime factors to calculate the LCM of 67248 and 67256.

LCM(67248,67256) = 2⁴ × 3² × 467¹ × 7¹ × 1201¹
LCM(67248,67256) = 565353936