What is the Least Common Multiple of 70230 and 70248?

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 70230 and 70248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70230 and 70248, than apply into the LCM equation.

GCF(70230,70248) = 6
LCM(70230,70248) = ( 70230 × 70248) / 6
LCM(70230,70248) = 4933517040 / 6
LCM(70230,70248) = 822252840

Least Common Multiple (LCM) of 70230 and 70248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70230 and 70248. First we will calculate the prime factors of 70230 and 70248.

Prime Factorization of 70230

Prime Factorization of 70248

Now multiplying the highest exponent prime factors to calculate the LCM of 70230 and 70248.

LCM(70230,70248) = 2³ × 3¹ × 5¹ × 2341¹ × 2927¹
LCM(70230,70248) = 822252840