What is the Least Common Multiple of 70670 and 70680?

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 70670 and 70680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70670 and 70680, than apply into the LCM equation.

GCF(70670,70680) = 10
LCM(70670,70680) = ( 70670 × 70680) / 10
LCM(70670,70680) = 4994955600 / 10
LCM(70670,70680) = 499495560

Least Common Multiple (LCM) of 70670 and 70680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70670 and 70680. First we will calculate the prime factors of 70670 and 70680.

Prime Factorization of 70670

Prime Factorization of 70680

Now multiplying the highest exponent prime factors to calculate the LCM of 70670 and 70680.

LCM(70670,70680) = 2³ × 5¹ × 37¹ × 191¹ × 3¹ × 19¹ × 31¹
LCM(70670,70680) = 499495560