What is the Least Common Multiple of 67235 and 67249?

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 67235 and 67249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67235 and 67249, than apply into the LCM equation.

GCF(67235,67249) = 7
LCM(67235,67249) = ( 67235 × 67249) / 7
LCM(67235,67249) = 4521486515 / 7
LCM(67235,67249) = 645926645

Least Common Multiple (LCM) of 67235 and 67249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67235 and 67249. First we will calculate the prime factors of 67235 and 67249.

Prime Factorization of 67235

Prime Factorization of 67249

Now multiplying the highest exponent prime factors to calculate the LCM of 67235 and 67249.

LCM(67235,67249) = 5¹ × 7¹ × 17¹ × 113¹ × 13¹ × 739¹
LCM(67235,67249) = 645926645