What is the Least Common Multiple of 70702 and 70719?

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 70702 and 70719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70702 and 70719, than apply into the LCM equation.

GCF(70702,70719) = 1
LCM(70702,70719) = ( 70702 × 70719) / 1
LCM(70702,70719) = 4999974738 / 1
LCM(70702,70719) = 4999974738

Least Common Multiple (LCM) of 70702 and 70719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70702 and 70719. First we will calculate the prime factors of 70702 and 70719.

Prime Factorization of 70702

Prime Factorization of 70719

Now multiplying the highest exponent prime factors to calculate the LCM of 70702 and 70719.

LCM(70702,70719) = 2¹ × 23¹ × 29¹ × 53¹ × 3¹ × 11¹ × 2143¹
LCM(70702,70719) = 4999974738