What is the Least Common Multiple of 67440 and 67452?

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 67452 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 67452, than apply into the LCM equation.

GCF(67440,67452) = 12
LCM(67440,67452) = ( 67440 × 67452) / 12
LCM(67440,67452) = 4548962880 / 12
LCM(67440,67452) = 379080240

Least Common Multiple (LCM) of 67440 and 67452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67440 and 67452. First we will calculate the prime factors of 67440 and 67452.

Prime Factorization of 67440

Prime Factorization of 67452

Now multiplying the highest exponent prime factors to calculate the LCM of 67440 and 67452.

LCM(67440,67452) = 2⁴ × 3¹ × 5¹ × 281¹ × 7¹ × 11¹ × 73¹
LCM(67440,67452) = 379080240