What is the Least Common Multiple of 98229 and 98235?

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 98235 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 98235, than apply into the LCM equation.

GCF(98229,98235) = 3
LCM(98229,98235) = ( 98229 × 98235) / 3
LCM(98229,98235) = 9649525815 / 3
LCM(98229,98235) = 3216508605

Least Common Multiple (LCM) of 98229 and 98235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98229 and 98235. First we will calculate the prime factors of 98229 and 98235.

Prime Factorization of 98229

Prime Factorization of 98235

Now multiplying the highest exponent prime factors to calculate the LCM of 98229 and 98235.

LCM(98229,98235) = 3² × 137¹ × 239¹ × 5¹ × 37¹ × 59¹
LCM(98229,98235) = 3216508605