What is the Least Common Multiple of 67440 and 67449?

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 67449 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 67449, than apply into the LCM equation.

GCF(67440,67449) = 3
LCM(67440,67449) = ( 67440 × 67449) / 3
LCM(67440,67449) = 4548760560 / 3
LCM(67440,67449) = 1516253520

Least Common Multiple (LCM) of 67440 and 67449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67440 and 67449. First we will calculate the prime factors of 67440 and 67449.

Prime Factorization of 67440

Prime Factorization of 67449

Now multiplying the highest exponent prime factors to calculate the LCM of 67440 and 67449.

LCM(67440,67449) = 2⁴ × 3¹ × 5¹ × 281¹ × 22483¹
LCM(67440,67449) = 1516253520