What is the Least Common Multiple of 67218 and 67235?

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 67218 and 67235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67218 and 67235, than apply into the LCM equation.

GCF(67218,67235) = 17
LCM(67218,67235) = ( 67218 × 67235) / 17
LCM(67218,67235) = 4519402230 / 17
LCM(67218,67235) = 265847190

Least Common Multiple (LCM) of 67218 and 67235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67218 and 67235. First we will calculate the prime factors of 67218 and 67235.

Prime Factorization of 67218

Prime Factorization of 67235

Now multiplying the highest exponent prime factors to calculate the LCM of 67218 and 67235.

LCM(67218,67235) = 2¹ × 3¹ × 17¹ × 659¹ × 5¹ × 7¹ × 113¹
LCM(67218,67235) = 265847190