What is the Least Common Multiple of 67240 and 67248?

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 67240 and 67248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67240 and 67248, than apply into the LCM equation.

GCF(67240,67248) = 8
LCM(67240,67248) = ( 67240 × 67248) / 8
LCM(67240,67248) = 4521755520 / 8
LCM(67240,67248) = 565219440

Least Common Multiple (LCM) of 67240 and 67248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67240 and 67248. First we will calculate the prime factors of 67240 and 67248.

Prime Factorization of 67240

Prime Factorization of 67248

Now multiplying the highest exponent prime factors to calculate the LCM of 67240 and 67248.

LCM(67240,67248) = 2⁴ × 5¹ × 41² × 3² × 467¹
LCM(67240,67248) = 565219440