What is the Least Common Multiple of 99251 and 99258?

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 99251 and 99258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99251 and 99258, than apply into the LCM equation.

GCF(99251,99258) = 1
LCM(99251,99258) = ( 99251 × 99258) / 1
LCM(99251,99258) = 9851455758 / 1
LCM(99251,99258) = 9851455758

Least Common Multiple (LCM) of 99251 and 99258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99251 and 99258. First we will calculate the prime factors of 99251 and 99258.

Prime Factorization of 99251

Prime Factorization of 99258

Now multiplying the highest exponent prime factors to calculate the LCM of 99251 and 99258.

LCM(99251,99258) = 99251¹ × 2¹ × 3¹ × 71¹ × 233¹
LCM(99251,99258) = 9851455758