What is the Least Common Multiple of 88230 and 88247?

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 88230 and 88247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88230 and 88247, than apply into the LCM equation.

GCF(88230,88247) = 17
LCM(88230,88247) = ( 88230 × 88247) / 17
LCM(88230,88247) = 7786032810 / 17
LCM(88230,88247) = 458001930

Least Common Multiple (LCM) of 88230 and 88247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88230 and 88247. First we will calculate the prime factors of 88230 and 88247.

Prime Factorization of 88230

Prime Factorization of 88247

Now multiplying the highest exponent prime factors to calculate the LCM of 88230 and 88247.

LCM(88230,88247) = 2¹ × 3¹ × 5¹ × 17¹ × 173¹ × 29¹ × 179¹
LCM(88230,88247) = 458001930