What is the Least Common Multiple of 70398 and 70418?

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 70398 and 70418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70398 and 70418, than apply into the LCM equation.

GCF(70398,70418) = 2
LCM(70398,70418) = ( 70398 × 70418) / 2
LCM(70398,70418) = 4957286364 / 2
LCM(70398,70418) = 2478643182

Least Common Multiple (LCM) of 70398 and 70418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70398 and 70418. First we will calculate the prime factors of 70398 and 70418.

Prime Factorization of 70398

Prime Factorization of 70418

Now multiplying the highest exponent prime factors to calculate the LCM of 70398 and 70418.

LCM(70398,70418) = 2¹ × 3² × 3911¹ × 137¹ × 257¹
LCM(70398,70418) = 2478643182