What is the Least Common Multiple of 97234 and 97247?

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 97234 and 97247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97234 and 97247, than apply into the LCM equation.

GCF(97234,97247) = 1
LCM(97234,97247) = ( 97234 × 97247) / 1
LCM(97234,97247) = 9455714798 / 1
LCM(97234,97247) = 9455714798

Least Common Multiple (LCM) of 97234 and 97247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97234 and 97247. First we will calculate the prime factors of 97234 and 97247.

Prime Factorization of 97234

Prime Factorization of 97247

Now multiplying the highest exponent prime factors to calculate the LCM of 97234 and 97247.

LCM(97234,97247) = 2¹ × 61¹ × 797¹ × 31¹ × 3137¹
LCM(97234,97247) = 9455714798