What is the Least Common Multiple of 67286 and 67303?

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 67286 and 67303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67286 and 67303, than apply into the LCM equation.

GCF(67286,67303) = 17
LCM(67286,67303) = ( 67286 × 67303) / 17
LCM(67286,67303) = 4528549658 / 17
LCM(67286,67303) = 266385274

Least Common Multiple (LCM) of 67286 and 67303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67286 and 67303. First we will calculate the prime factors of 67286 and 67303.

Prime Factorization of 67286

Prime Factorization of 67303

Now multiplying the highest exponent prime factors to calculate the LCM of 67286 and 67303.

LCM(67286,67303) = 2¹ × 17¹ × 1979¹ × 37¹ × 107¹
LCM(67286,67303) = 266385274