What is the Least Common Multiple of 67440 and 67445?

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 67440 and 67445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67440 and 67445, than apply into the LCM equation.

GCF(67440,67445) = 5
LCM(67440,67445) = ( 67440 × 67445) / 5
LCM(67440,67445) = 4548490800 / 5
LCM(67440,67445) = 909698160

Least Common Multiple (LCM) of 67440 and 67445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67440 and 67445. First we will calculate the prime factors of 67440 and 67445.

Prime Factorization of 67440

Prime Factorization of 67445

Now multiplying the highest exponent prime factors to calculate the LCM of 67440 and 67445.

LCM(67440,67445) = 2⁴ × 3¹ × 5¹ × 281¹ × 7¹ × 41¹ × 47¹
LCM(67440,67445) = 909698160