What is the Least Common Multiple of 97214 and 97234?

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 97234 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 97234, than apply into the LCM equation.

GCF(97214,97234) = 2
LCM(97214,97234) = ( 97214 × 97234) / 2
LCM(97214,97234) = 9452506076 / 2
LCM(97214,97234) = 4726253038

Least Common Multiple (LCM) of 97214 and 97234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97214 and 97234. First we will calculate the prime factors of 97214 and 97234.

Prime Factorization of 97214

Prime Factorization of 97234

Now multiplying the highest exponent prime factors to calculate the LCM of 97214 and 97234.

LCM(97214,97234) = 2¹ × 13¹ × 3739¹ × 61¹ × 797¹
LCM(97214,97234) = 4726253038