What is the Least Common Multiple of 97230 and 97238?

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 97230 and 97238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97230 and 97238, than apply into the LCM equation.

GCF(97230,97238) = 2
LCM(97230,97238) = ( 97230 × 97238) / 2
LCM(97230,97238) = 9454450740 / 2
LCM(97230,97238) = 4727225370

Least Common Multiple (LCM) of 97230 and 97238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97230 and 97238. First we will calculate the prime factors of 97230 and 97238.

Prime Factorization of 97230

Prime Factorization of 97238

Now multiplying the highest exponent prime factors to calculate the LCM of 97230 and 97238.

LCM(97230,97238) = 2¹ × 3¹ × 5¹ × 7¹ × 463¹ × 48619¹
LCM(97230,97238) = 4727225370