What is the Least Common Multiple of 97229 and 97243?

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 97229 and 97243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97229 and 97243, than apply into the LCM equation.

GCF(97229,97243) = 1
LCM(97229,97243) = ( 97229 × 97243) / 1
LCM(97229,97243) = 9454839647 / 1
LCM(97229,97243) = 9454839647

Least Common Multiple (LCM) of 97229 and 97243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97229 and 97243. First we will calculate the prime factors of 97229 and 97243.

Prime Factorization of 97229

Prime Factorization of 97243

Now multiplying the highest exponent prime factors to calculate the LCM of 97229 and 97243.

LCM(97229,97243) = 11¹ × 8839¹ × 47¹ × 2069¹
LCM(97229,97243) = 9454839647