What is the Least Common Multiple of 97214 and 97222?

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 97214 and 97222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97214 and 97222, than apply into the LCM equation.

GCF(97214,97222) = 2
LCM(97214,97222) = ( 97214 × 97222) / 2
LCM(97214,97222) = 9451339508 / 2
LCM(97214,97222) = 4725669754

Least Common Multiple (LCM) of 97214 and 97222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97214 and 97222. First we will calculate the prime factors of 97214 and 97222.

Prime Factorization of 97214

Prime Factorization of 97222

Now multiplying the highest exponent prime factors to calculate the LCM of 97214 and 97222.

LCM(97214,97222) = 2¹ × 13¹ × 3739¹ × 48611¹
LCM(97214,97222) = 4725669754