What is the Least Common Multiple of 96210 and 96229?

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 96210 and 96229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96210 and 96229, than apply into the LCM equation.

GCF(96210,96229) = 1
LCM(96210,96229) = ( 96210 × 96229) / 1
LCM(96210,96229) = 9258192090 / 1
LCM(96210,96229) = 9258192090

Least Common Multiple (LCM) of 96210 and 96229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96210 and 96229. First we will calculate the prime factors of 96210 and 96229.

Prime Factorization of 96210

Prime Factorization of 96229

Now multiplying the highest exponent prime factors to calculate the LCM of 96210 and 96229.

LCM(96210,96229) = 2¹ × 3² × 5¹ × 1069¹ × 7¹ × 59¹ × 233¹
LCM(96210,96229) = 9258192090