What is the Least Common Multiple of 70348 and 70367?

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 70348 and 70367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70348 and 70367, than apply into the LCM equation.

GCF(70348,70367) = 1
LCM(70348,70367) = ( 70348 × 70367) / 1
LCM(70348,70367) = 4950177716 / 1
LCM(70348,70367) = 4950177716

Least Common Multiple (LCM) of 70348 and 70367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70348 and 70367. First we will calculate the prime factors of 70348 and 70367.

Prime Factorization of 70348

Prime Factorization of 70367

Now multiplying the highest exponent prime factors to calculate the LCM of 70348 and 70367.

LCM(70348,70367) = 2² × 43¹ × 409¹ × 11¹ × 6397¹
LCM(70348,70367) = 4950177716