What is the Least Common Multiple of 70738 and 70744?

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 70738 and 70744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70738 and 70744, than apply into the LCM equation.

GCF(70738,70744) = 2
LCM(70738,70744) = ( 70738 × 70744) / 2
LCM(70738,70744) = 5004289072 / 2
LCM(70738,70744) = 2502144536

Least Common Multiple (LCM) of 70738 and 70744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70738 and 70744. First we will calculate the prime factors of 70738 and 70744.

Prime Factorization of 70738

Prime Factorization of 70744

Now multiplying the highest exponent prime factors to calculate the LCM of 70738 and 70744.

LCM(70738,70744) = 2³ × 113¹ × 313¹ × 37¹ × 239¹
LCM(70738,70744) = 2502144536