What is the Least Common Multiple of 96229 and 96249?

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 96229 and 96249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96229 and 96249, than apply into the LCM equation.

GCF(96229,96249) = 1
LCM(96229,96249) = ( 96229 × 96249) / 1
LCM(96229,96249) = 9261945021 / 1
LCM(96229,96249) = 9261945021

Least Common Multiple (LCM) of 96229 and 96249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96229 and 96249. First we will calculate the prime factors of 96229 and 96249.

Prime Factorization of 96229

Prime Factorization of 96249

Now multiplying the highest exponent prime factors to calculate the LCM of 96229 and 96249.

LCM(96229,96249) = 7¹ × 59¹ × 233¹ × 3¹ × 32083¹
LCM(96229,96249) = 9261945021