What is the Least Common Multiple of 97214 and 97228?

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 97228 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 97228, than apply into the LCM equation.

GCF(97214,97228) = 2
LCM(97214,97228) = ( 97214 × 97228) / 2
LCM(97214,97228) = 9451922792 / 2
LCM(97214,97228) = 4725961396

Least Common Multiple (LCM) of 97214 and 97228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97214 and 97228. First we will calculate the prime factors of 97214 and 97228.

Prime Factorization of 97214

Prime Factorization of 97228

Now multiplying the highest exponent prime factors to calculate the LCM of 97214 and 97228.

LCM(97214,97228) = 2² × 13¹ × 3739¹ × 109¹ × 223¹
LCM(97214,97228) = 4725961396