What is the Least Common Multiple of 70700 and 70720?

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 70700 and 70720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70700 and 70720, than apply into the LCM equation.

GCF(70700,70720) = 20
LCM(70700,70720) = ( 70700 × 70720) / 20
LCM(70700,70720) = 4999904000 / 20
LCM(70700,70720) = 249995200

Least Common Multiple (LCM) of 70700 and 70720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70700 and 70720. First we will calculate the prime factors of 70700 and 70720.

Prime Factorization of 70700

Prime Factorization of 70720

Now multiplying the highest exponent prime factors to calculate the LCM of 70700 and 70720.

LCM(70700,70720) = 2⁶ × 5² × 7¹ × 101¹ × 13¹ × 17¹
LCM(70700,70720) = 249995200