What is the Least Common Multiple of 70284 and 70296?

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 70284 and 70296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70284 and 70296, than apply into the LCM equation.

GCF(70284,70296) = 12
LCM(70284,70296) = ( 70284 × 70296) / 12
LCM(70284,70296) = 4940684064 / 12
LCM(70284,70296) = 411723672

Least Common Multiple (LCM) of 70284 and 70296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70284 and 70296. First we will calculate the prime factors of 70284 and 70296.

Prime Factorization of 70284

Prime Factorization of 70296

Now multiplying the highest exponent prime factors to calculate the LCM of 70284 and 70296.

LCM(70284,70296) = 2³ × 3¹ × 5857¹ × 29¹ × 101¹
LCM(70284,70296) = 411723672