What is the Least Common Multiple of 70233 and 70242?

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 70233 and 70242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70233 and 70242, than apply into the LCM equation.

GCF(70233,70242) = 3
LCM(70233,70242) = ( 70233 × 70242) / 3
LCM(70233,70242) = 4933306386 / 3
LCM(70233,70242) = 1644435462

Least Common Multiple (LCM) of 70233 and 70242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70233 and 70242. First we will calculate the prime factors of 70233 and 70242.

Prime Factorization of 70233

Prime Factorization of 70242

Now multiplying the highest exponent prime factors to calculate the LCM of 70233 and 70242.

LCM(70233,70242) = 3¹ × 41¹ × 571¹ × 2¹ × 23¹ × 509¹
LCM(70233,70242) = 1644435462