What is the Least Common Multiple of 70578 and 70592?

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 70578 and 70592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70578 and 70592, than apply into the LCM equation.

GCF(70578,70592) = 2
LCM(70578,70592) = ( 70578 × 70592) / 2
LCM(70578,70592) = 4982242176 / 2
LCM(70578,70592) = 2491121088

Least Common Multiple (LCM) of 70578 and 70592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70578 and 70592. First we will calculate the prime factors of 70578 and 70592.

Prime Factorization of 70578

Prime Factorization of 70592

Now multiplying the highest exponent prime factors to calculate the LCM of 70578 and 70592.

LCM(70578,70592) = 2⁶ × 3³ × 1307¹ × 1103¹
LCM(70578,70592) = 2491121088