What is the Least Common Multiple of 98229 and 98238?

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 98229 and 98238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98229 and 98238, than apply into the LCM equation.

GCF(98229,98238) = 3
LCM(98229,98238) = ( 98229 × 98238) / 3
LCM(98229,98238) = 9649820502 / 3
LCM(98229,98238) = 3216606834

Least Common Multiple (LCM) of 98229 and 98238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98229 and 98238. First we will calculate the prime factors of 98229 and 98238.

Prime Factorization of 98229

Prime Factorization of 98238

Now multiplying the highest exponent prime factors to calculate the LCM of 98229 and 98238.

LCM(98229,98238) = 3¹ × 137¹ × 239¹ × 2¹ × 7¹ × 2339¹
LCM(98229,98238) = 3216606834