What is the Least Common Multiple of 70992 and 71007?

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 70992 and 71007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70992 and 71007, than apply into the LCM equation.

GCF(70992,71007) = 3
LCM(70992,71007) = ( 70992 × 71007) / 3
LCM(70992,71007) = 5040928944 / 3
LCM(70992,71007) = 1680309648

Least Common Multiple (LCM) of 70992 and 71007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70992 and 71007. First we will calculate the prime factors of 70992 and 71007.

Prime Factorization of 70992

Prime Factorization of 71007

Now multiplying the highest exponent prime factors to calculate the LCM of 70992 and 71007.

LCM(70992,71007) = 2⁴ × 3² × 17¹ × 29¹ × 23669¹
LCM(70992,71007) = 1680309648