What is the Least Common Multiple of 98274 and 98289?

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 98274 and 98289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98274 and 98289, than apply into the LCM equation.

GCF(98274,98289) = 3
LCM(98274,98289) = ( 98274 × 98289) / 3
LCM(98274,98289) = 9659253186 / 3
LCM(98274,98289) = 3219751062

Least Common Multiple (LCM) of 98274 and 98289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98274 and 98289. First we will calculate the prime factors of 98274 and 98289.

Prime Factorization of 98274

Prime Factorization of 98289

Now multiplying the highest exponent prime factors to calculate the LCM of 98274 and 98289.

LCM(98274,98289) = 2¹ × 3² × 11¹ × 1489¹ × 67¹ × 163¹
LCM(98274,98289) = 3219751062