What is the Least Common Multiple of 98214 and 98229?

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 98214 and 98229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98214 and 98229, than apply into the LCM equation.

GCF(98214,98229) = 3
LCM(98214,98229) = ( 98214 × 98229) / 3
LCM(98214,98229) = 9647463006 / 3
LCM(98214,98229) = 3215821002

Least Common Multiple (LCM) of 98214 and 98229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98214 and 98229. First we will calculate the prime factors of 98214 and 98229.

Prime Factorization of 98214

Prime Factorization of 98229

Now multiplying the highest exponent prime factors to calculate the LCM of 98214 and 98229.

LCM(98214,98229) = 2¹ × 3¹ × 16369¹ × 137¹ × 239¹
LCM(98214,98229) = 3215821002