What is the Least Common Multiple of 70248 and 70254?

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 70248 and 70254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70248 and 70254, than apply into the LCM equation.

GCF(70248,70254) = 6
LCM(70248,70254) = ( 70248 × 70254) / 6
LCM(70248,70254) = 4935202992 / 6
LCM(70248,70254) = 822533832

Least Common Multiple (LCM) of 70248 and 70254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70248 and 70254. First we will calculate the prime factors of 70248 and 70254.

Prime Factorization of 70248

Prime Factorization of 70254

Now multiplying the highest exponent prime factors to calculate the LCM of 70248 and 70254.

LCM(70248,70254) = 2³ × 3³ × 2927¹ × 1301¹
LCM(70248,70254) = 822533832