What is the Least Common Multiple of 98189 and 98203?

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 98189 and 98203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98189 and 98203, than apply into the LCM equation.

GCF(98189,98203) = 7
LCM(98189,98203) = ( 98189 × 98203) / 7
LCM(98189,98203) = 9642454367 / 7
LCM(98189,98203) = 1377493481

Least Common Multiple (LCM) of 98189 and 98203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98189 and 98203. First we will calculate the prime factors of 98189 and 98203.

Prime Factorization of 98189

Prime Factorization of 98203

Now multiplying the highest exponent prime factors to calculate the LCM of 98189 and 98203.

LCM(98189,98203) = 7¹ × 13² × 83¹ × 14029¹
LCM(98189,98203) = 1377493481