What is the Least Common Multiple of 70269 and 70284?

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 70269 and 70284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70269 and 70284, than apply into the LCM equation.

GCF(70269,70284) = 3
LCM(70269,70284) = ( 70269 × 70284) / 3
LCM(70269,70284) = 4938786396 / 3
LCM(70269,70284) = 1646262132

Least Common Multiple (LCM) of 70269 and 70284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70269 and 70284. First we will calculate the prime factors of 70269 and 70284.

Prime Factorization of 70269

Prime Factorization of 70284

Now multiplying the highest exponent prime factors to calculate the LCM of 70269 and 70284.

LCM(70269,70284) = 3¹ × 59¹ × 397¹ × 2² × 5857¹
LCM(70269,70284) = 1646262132