What is the Least Common Multiple of 70128 and 70133?

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 70128 and 70133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70128 and 70133, than apply into the LCM equation.

GCF(70128,70133) = 1
LCM(70128,70133) = ( 70128 × 70133) / 1
LCM(70128,70133) = 4918287024 / 1
LCM(70128,70133) = 4918287024

Least Common Multiple (LCM) of 70128 and 70133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70128 and 70133. First we will calculate the prime factors of 70128 and 70133.

Prime Factorization of 70128

Prime Factorization of 70133

Now multiplying the highest exponent prime factors to calculate the LCM of 70128 and 70133.

LCM(70128,70133) = 2⁴ × 3² × 487¹ × 7¹ × 43¹ × 233¹
LCM(70128,70133) = 4918287024