What is the Least Common Multiple of 98294 and 98302?

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 98294 and 98302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98294 and 98302, than apply into the LCM equation.

GCF(98294,98302) = 2
LCM(98294,98302) = ( 98294 × 98302) / 2
LCM(98294,98302) = 9662496788 / 2
LCM(98294,98302) = 4831248394

Least Common Multiple (LCM) of 98294 and 98302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98294 and 98302. First we will calculate the prime factors of 98294 and 98302.

Prime Factorization of 98294

Prime Factorization of 98302

Now multiplying the highest exponent prime factors to calculate the LCM of 98294 and 98302.

LCM(98294,98302) = 2¹ × 7² × 17¹ × 59¹ × 23¹ × 2137¹
LCM(98294,98302) = 4831248394