What is the Least Common Multiple of 98228 and 98239?

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 98228 and 98239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98228 and 98239, than apply into the LCM equation.

GCF(98228,98239) = 1
LCM(98228,98239) = ( 98228 × 98239) / 1
LCM(98228,98239) = 9649820492 / 1
LCM(98228,98239) = 9649820492

Least Common Multiple (LCM) of 98228 and 98239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98228 and 98239. First we will calculate the prime factors of 98228 and 98239.

Prime Factorization of 98228

Prime Factorization of 98239

Now multiplying the highest exponent prime factors to calculate the LCM of 98228 and 98239.

LCM(98228,98239) = 2² × 13¹ × 1889¹ × 31¹ × 3169¹
LCM(98228,98239) = 9649820492