What is the Least Common Multiple of 67284 and 67292?

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 67284 and 67292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67284 and 67292, than apply into the LCM equation.

GCF(67284,67292) = 4
LCM(67284,67292) = ( 67284 × 67292) / 4
LCM(67284,67292) = 4527674928 / 4
LCM(67284,67292) = 1131918732

Least Common Multiple (LCM) of 67284 and 67292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67284 and 67292. First we will calculate the prime factors of 67284 and 67292.

Prime Factorization of 67284

Prime Factorization of 67292

Now multiplying the highest exponent prime factors to calculate the LCM of 67284 and 67292.

LCM(67284,67292) = 2² × 3³ × 7¹ × 89¹ × 16823¹
LCM(67284,67292) = 1131918732